Week 3 Test attempt 2

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Week 3 Test - Results Attempt 2 of 2 Written Jul 23, 2023 9:53 PM - Jul 23, 2023 10:28 PM Attempt Score 20 / 20 - 100 % Overall Grade (Highest Attempt) 20 / 20 - 100 % Question 1 1 / 1 point ___ 1.6___ Hide ques±on 1 feedback Question 2 1 / 1 point ___ 0.0328___ Hide ques±on 2 feedback Question 3 1 / 1 point ___ 0.8555___ Hide ques±on 3 feedback Approximately 8% of all people have blue eyes. A random sample of 20 people is selected, find μ. Round to one decimal place. Answer: 20*.08 It is known that 20% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is the probability that 5 or more of them have a high school diploma? (That is, find P(X ≥ 5) (round to 4 decimal places) Answer: P(x ≥ 5) = 1 - P(x ≤ 4) , in Excel =1-BINOM.DIST(4,10,0.2,TRUE) 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: P(x < 6) = P(x ≤ 5), in Excel =BINOM.DIST(5,8,0.5,TRUE)
Question 4 1 / 1 point ___ 0.1728___ Hide ques±on 4 feedback Question 5 1 / 1 point ___ 0.0428___ Hide ques±on 5 feedback 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). Hide ques±on 6 feedback 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: In Excel, =BINOM.DIST(3,14,0.13,FALSE) 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: P(x = 4), In Excel, =BINOM.DIST(4,15,0.1,FALSE) 0.71 0.12 0.88 0.29 Good job, 15/130
Question 7 1 / 1 point ___ 12650___ Hide ques±on 7 feedback Question 8 1 / 1 point ___ 120___ Hide ques±on 8 feedback Question 9 1 / 1 point You are going to a benefit dinner, and need to decide before the dinner what you want for salad, main dish, and dessert. You have 2 different salads to choose from, 3 main dishes, and 5 desserts. How many different meals are available? Answer: Hide ques±on 9 feedback Question 10 1 / 1 point True or False: The following table represents a valid discrete probability distribution. x 1 2 3 4 5 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: Order does not matter. In Excel, =COMBIN(25,4) You are opening a T-shirt store. You can have long sleeves or short sleeves, three different colors, five different designs, and four different sizes. How many different shirts can you make? Leave answer as a whole number, do not include decimals. Answer: 3*5*4 = 60 Long or short sleeve = 2*60 30 25 15 10 2*3*5
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