#9 A and B are independent events with P(A) = 0.2 and P(B) = 0.5. Find P(A and B
ID: 3220872 • Letter: #
Question
#9 A and B are independent events with P(A) = 0.2 and P(B) = 0.5. Find P(A and B).
#10 Let A be the event that a participant wears a blue shirt and B be the event that the viewer has 4 children. A and B are independent events with P(A) = 0.25 and P(B) = 0.1. Find the probability that a participant wears a blue shirt given that he has four children. Hint: use the fact that the 2 events are independent!
#11 A and B are mutually exclusive events with P(A) = 0.2 and P(B) = 0.5. Find P(A and B). Hint: use the fact that the events are mutually exclusive!
#12
Your company conducts a quality control study on employee efficiency. 100 employees are secretly observed for 2 hours, and 63 of those people made a personal phone call or used a computer for a non-job related function. This is a binomial experiment in which the outcomes are that the employee IS on task, or the employee IS NOT on task. Select the appropriate parameters below.
Let the probability, p, represent the probability of an employee remaining on task for an entire 2-hour period.
*n=63 and p=100
*n=100 and p=63
*n=100 and p=0.63
*n=100 and p = 0.37
*n=63 and p=37
*n=37 and p=63
#13 A coin is tossed twice. What is the sample space?
{H, T}
{HH, TT, HT, TH}
{HT, HH, TT}
it depends on the outcome
{H, T}
{HH, TT, HT, TH}
{HT, HH, TT}
it depends on the outcome
Explanation / Answer
A coin is tossed twice. What is the sample space?
When 1 coin is tossed: H or T comes up
When 2 are tossed: HT TH HH and TT are the sample space
Therefore, the answer is B. { HH TT HT HT}
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