Question

Survey indicates that 41% of women in the US consider reading their favorite leisure time activity. You randomly select four US women and ask them if reading is their favorite leisure-time activity. Find the probability that at least two of them respond yes. If you were solving this problem, then what probabilities would you need to find? Choose all correct answers from the below list.

A. P(O)
B. P(4)
C. P(2)
D.U
E. P(3)
F. P(1)

Answer 1

The probabilities needed to find the probability that at least two out of four randomly selected US women consider reading their favorite leisure-time activity are P(2), P(3), and P(4). We calculate the probability for each scenario and then sum them to get the final answer.

Step-by-step explanation:

The student has asked about the probability of at least two out of four randomly selected US women considering reading as their favorite leisure-time activity, given that a survey indicates 41% of women in the US have that preference. To find this probability, we need to calculate the probability of exactly two, exactly three, and exactly four women responding 'yes', and then add these probabilities together. Therefore, we will calculate P(2), P(3), and P(4).

So, the probabilities needed to solve this problem are:

• P(2) - the probability that exactly two women say 'yes'
• P(3) - the probability that exactly three women say 'yes'
• P(4) - the probability that all four women say 'yes'

We do not need to find P(0) or P(1) because these do not satisfy the condition of 'at least two'. We also do not include P(2.5) or any other non-integers as probability values because the number of women must be a whole number.