Statistics Homework: Week-3 Assignment # 3 Score: 0.75 of 1 pt 180160 (59 comple

Question

Statistics Homework: Week-3 Assignment # 3 Score: 0.75 of 1 pt 180160 (59 complete) 3.2.25 In a sample of 2094 U.S adults, 362 said Franklin Roosevelt was the best president since World War lI. Two U S. adults are sele without replacement. Assuming the sample is representative of all U.S. adults, complete parts (a) through (d) . (a) Fina tne probability tnal Don aaults say FranKlin Koosever was tne Dest presaent Since vvor a war 11. The probability that both adults say Franklin Roosevelt was the best president since World War II is 0.030 (Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War The probability that neither adult says Franklin Roosevelt was the best president since World War II s Round to three decimal places as needed.) |! .. | 111 | Vi | :/i ". I ('.) , wore Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All O Type here to search

Explanation / Answer

Solution:-

p = 362/2094

p = 0.1729

a) The probability that both adults say Franklin Roosevolt was the best president since World war II is 0.0299.

n = 2, x = 2

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 2) = 0.0299.

b) The probability that neither adults say Franklin Roosevolt was the best president since World war II is 0.6841.

n = 2, x = 0

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x = 0) = 0.6841

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