Question

Problem 5. The US Bureau of Labor Statist under age 65 was between 18 and 24 years of age, 28% was between 25 and 34, 19% was betweenn 35 and 44, and 32% was between 45 and 64 n 1982, an automobile manufacturer wanted to obtain opinions on a new de five randomly chosen adults from the under-65 group of adults. Of the five people selected, find the approximate ics reported that, as of 1981 , approximately 21% of the adult population sign from p 64 (a) 0.0031 (b) 0.3 (c) 0.1671 (d) 0.0935 (e) 0.56

Answer 1

Solution: The correct option is (a) 0.0031

Explanation:

We know that:

$\small P(18-to-24 )=0.21$

$\small P(25-to-44 )=0.28+0.19=0.47$

$\small P(45-to-64 )=0.32$

Now the probability that two were between 18 and 24, two were between 25 and 44, and one was between 45 and 64 is:

$\small 0.21^2\times0.47^2\times 0.32=0.0441 \times 0.2209 \times 0.32=0.0031$

Hence the correct option is (a) 0.0031.