Statistics

what is the standard error of n = 25 π = 0.59

In a lottery game, a player picks 6 numbers from 1 to 48. If 5 of the 6 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit. There is a probability of winning second prize.

A computer user has downloaded 24 songs using an online file-sharing program and wants to create a CD-R with 13 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not important to him, how many different CD-Rs could he make from the 24 songs available to him? There are possible CD-R's.

In a lottery game, a player picks 6 numbers from 1 to 48. If 5 of the 6 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit. There is a probability of winning second prize.

In a lottery game, a player picks 5 numbers from 1 to 45. How many different choices does the player have if order doesn't matter? There are choices to pick for the lottery.

A factory received a shipment of 29 lightbulbs, and the vendor who sold the items knows there are 8 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 8 lightbulbs is selected, find the probability that all in the sample are defective. If a sample of 8 lightbulbs is selected, find the probability that none in the sample are defective.

If the true mean is .9560 with a standard deviation of 0.0020, what is the sampling distribution of X¯¯¯ ?

A factory received a shipment of 29 lightbulbs, and the vendor who sold the items knows there are 8 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 8 lightbulbs is selected, find the probability that all in the sample are defective. If a sample of 8 lightbulbs is selected, find the probability that none in the sample are defective.

A poker hand consisting of 4 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 2 face cards. Leave your answer as a reduced fraction. The probability is .

A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: Smooth, Rhythm, or Standard. The results were then presented to the owner in the following Venn Diagram. 11 15 12 8 4 9 7 5 Smooth Rhythm Standard [Graphs generated by this script: initPicture(-5.5,5.5,-5.5,5.5);fill='transred';circle([0,-1.7],3);fill='transgreen';circle([2,2],3);fill='transblue';circle([-2,2],3);text([-2.2,2.7],'11');text([2.2,2.7],'15');text([0,-2.8],'12');text([0,2.2],'8');text([-1.5,-.2],'4');text([1.5,-.2],'9');text([0,.6],'7');text([4,-4],'5');text([-2.3,3.85],'Smooth');text([2.3,3.85],'Rhythm');text([0,-1.5],'Standard');] Determine the following probabilities. Write your answers in percent form, rounded to the nearest tenth. a) P(Smooth) = 42.3 Correct% b) P(Rhythm and Standard) = % c) P(Smooth or Standard) = 71.8 Correct% d) P(Rhythm or Smooth) = %

A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: Smooth, Rhythm, or Standard. The results were then presented to the owner in the following Venn Diagram. 11 15 12 8 4 9 7 5 Smooth Rhythm Standard [Graphs generated by this script: initPicture(-5.5,5.5,-5.5,5.5);fill='transred';circle([0,-1.7],3);fill='transgreen';circle([2,2],3);fill='transblue';circle([-2,2],3);text([-2.2,2.7],'11');text([2.2,2.7],'15');text([0,-2.8],'12');text([0,2.2],'8');text([-1.5,-.2],'4');text([1.5,-.2],'9');text([0,.6],'7');text([4,-4],'5');text([-2.3,3.85],'Smooth');text([2.3,3.85],'Rhythm');text([0,-1.5],'Standard');] Determine the following probabilities. Write your answers in percent form, rounded to the nearest tenth. a) P(Smooth) = % b) P(Rhythm and Standard) = % c) P(Smooth or Standard) = % d) P(Rhythm or Smooth) = %

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately `sigma = 75.2`. We would like to be 90% confident that the estimate is within 1.5 of the true population mean. How large of a sample size is required? `n =`

Out of 200 people sampled, 112 preferred Candidate A. Based on this estimate, what proportion (as a decimal) of the voting population (`p`) prefers Candidate A? Compute a 95% confidence level, and give your answers to 3 decimal places. < `p` <

In a survey, 27 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $35 and standard deviation of $18. Construct a confidence interval at a 95% confidence level. Give your answers to one decimal place. `+-`

A survey of a group's web habits for the past month obtained the following information. 30% visited Facebook. 42% visited LinkedIn. 36% visited Google. 18% visited Facebook and LinkedIn. 15% visited Facebook and Google. 18% visited LinkedIn and Google. 8% visited all three sites. Find the percentage that visited none of these three sites last month. Hint: Draw a Venn diagram for three sets. Then label appropriate parts from the given information.

The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 65% while 28% require a developmental math course and 22% require a developmental English course. Find the probability that a first year student requires both a development math course and a developmental English course. Hint: Draw a Venn diagram for 2 sets. Label the appropriate parts from the given information.

When shooting two free throws, the chance that a basketball player makes her first free throw is 60%. If she makes her first free throw, her confidence goes up and there is a 70% chance that she will make her second free throw. But, if she misses her first free throw, her confidence goes down and there is only a 55% chance that she will make her second free throw. Find the probability of each event below. Round each probability to four decimal places. You may find it useful to sketch yourself a tree diagram. (a) she makes both free throws? Correct (b) she misses both free throws? Correct (c) she makes exactly one of the two free throws? (d) she makes at least one of the free throws? Correct

The 4-year graduation rate at Hinsdale Central is 93%. 91% of those students will then enroll in postsecondary education at colleges or universities. Out of those students, 71% will join the workforce after college graduation, 15% will advance to get their Master's degree and 14% will move home and live in their parents' basement. What is the probability that you, as a Hinsdale Central student, will go on to earn a master's degree? You may enter a calculation that leads to your answer

An urn contains 10 red marbles, 6 white marbles, and 7 blue marbles marbles. A child randomly selects three (without replacement) from the urn. Round to four decimal places. Find the probability all three marbles are the same color. Hint: Three distinct cases occur for the same color. Find the probability that none of the three marbles are white.

Suppose a jar contains 15 red marbles and 36 blue marbles. If 2 marbles are randomly chosen from the jar at the same time, find the probability that both marbles are red. Round your answer to four decimal places.