WK 3 Test 2

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Statistics

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Jun 12, 2024

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Week 3 Test Your work has been saved and submitted Written May 22, 2024 3:25 PM - May 22, 2024 4:59 PMAttempt 2 of 2 Attempt Score 20 /20-100% Overall Grade (Highest Attempt) 20 /20-100% Question 1 1 /1 point It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma? (That is, what is P(X < 6) (round to 4 decimal places) Answer: .8555 v W Hide question 1 feedback P(x < 6) = P(x < 5), in Excel =BINOM.DIST(5,8,0.5,TRUE) Question 2 1 /1 point If random variable X has a binomial distribution with n =8 and P(success) = p =0.5, find the probability that X is at most 3. (That is, find P(X < 3)) (round to 4 decimal places) Answer: 0.3633 v W Hide question 2 feedback
In Excel, =BINOM.DIST(3,8,0.5,TRUE) Question 3 1 /1 point Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the P(X = 15) using Excel. Round answer to 4 decimal places. Answer: 0.9995 v W Hide question 3 feedback P(x > 15)=1 - P(x < 14), in Excel =1-BINOM.DIST(14,25,0.85,TRUE) Question 4 1 /1 point Approximately 10% of all people are left-handed. Out of a random sample of 15 people, what is the probability that 4 of them are left-handed? Round answer to 4 decimal places. Answer: 0.0428 v W Hide question 4 feedback P(x = 4), In Excel, =BINOM.DIST(4,15,0.1,FALSE) Question 5 1 /1 point Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the P(X = 3) using Excel. Round answer to 4 decimal places. Answer: 0.1728 v W Hide question 5 feedback In Excel, =BINOM.DIST(3,14,0.13,FALSE) Question 6 1 /1 point The table shows a random sample of musicians and how they learned to play their instruments.
Gender | Self-Taught | Studied in School | Private Instruction | Total Female |12 38 22 72 Male 19 24 15 58 Total 31 62 37 130 Find P(musician is a male AND had private instruction). D 0.71 v 0.12 fj) 0.88 :) 0.29 W Hide question 6 feedback Good job, 15/130 Question 7 1 /1 point You have a club of fifteen people. You need to pick a president, treasurer, and secretary from the fifteen. How many different ways can you do this? Leave answer as whole number, do not include decimals or commas. Answer: 2730 v W Hide question 7 feedback Order matters. In Excel, =PERMUT(15,3) Question 8 1 /1 point How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type? Leave answer a whole number, do not include decimals or commas. Answer: 12650 v W Hide question 8 feedback Order does not matter. In Excel, =COMBIN(25,4)
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