Week 3 Knowledge Check HW - Attempt 1

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American Military University *

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Statistics

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Jan 9, 2024

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Week 3 Knowledge Check Homework Practice Questions - Results X Attempt 1 of 4 Written Nov 25, 2023 4:39 PM - Nov 25, 2023 5:06 PM Attempt Score 17/ 20-85% Overall Grade (Highest Attempt) 17 /20-85% Question 1 1/ 1 point A coin is flipped 30 times. Find o?. Round to 1 decimal place. Answer: /.5 v w Hide question 1 feedback 30*.5%.5 Question 2 1/ 1 point Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the probability that at most 2 of them have blue eyes? Round answer to 4 decimal places. Answer: 0.78792 v

¥ Hide question 2 feedback P(x < 2), in Excel =BINOM.DIST(2,20,0.08,TRUE) Question 3 1/ 1 point It is known that 50% of adult workers have a high school diploma. If a random sample of 5 adult workers is selected, what is the probability that more than 3 of them have a high school diploma? (That is, what is P(X>3) (round to 4 decimal places) Answer: __ 0.1875 v w Hide question 3 feedback P(x > 3) =1 - P(x < 3), in Excel =1-BINOM.DIST(3,5,0.5,TRUE) Question 4 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: 0.0016 v W Hide question 4 feedback In Excel,

=BINOM.DIST(15,25,0.85,FALSE) Question 5 0/ 1 point Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the standard deviation. Round answer to 4 decimal places. Answer: w Hide question 5 feedback In Excel, =SQRT(14%0.13*0.87) Question 6 0.9021 ® (1.2583) 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 1s a female AND had private instruction). ¢<> 0.17 (012 1/ 1 point

088 ~0.83 W Hide question 6 feedback 22/130 Question 7 0/ 1 point A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there? Answer: = ( ) 60949324800 X ( ) 670442572800 {">36288O >7257600 w Hide question 7 feedback Order Matters =PERMUT(20,9) Order Matters =PERMUT(20,9)

Question 8 1/ 1 point How many different phone numbers are possible in the area code 503, if the first number cannot start with a O or 1? Do not use commas in your answer. Answer: ___8000000 v w Hide question 8 feedback First number has 8 different choice then the last 6 numbers can be any number. 8 * 106 Question 9 1/ 1 point In a box there are 3 red cards and 5 blue cards. The cards are well-shuffled. If you pick a card without looking at the box, what is the probability that you pick a red card? (round to 3 decimal places) Answer: 0.375 v w Hide question 9 feedback 3/8 Question 10 1/ 1 point Does the following table represent a valid discrete probability distribution?

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