Question 16 of 18 About 15% of the students at a high school have part-time jobs. What is the
probability that there will be between 39 and 51 students with part-time jobs
in a randomly selected group of 300? Use your calculator and this formula:
Plas xs b) = binomcdf(np, b) - binomcdf(n, p,a- 1). Round your answer to
three decimal places.
A. 0.188
B. 0.707
C. 0.665
D. 0.186

B. probability = 0.707

Step-by-step explanation:

Find the probability of finding 39 to 51 inclusively student with jobs from a sample of 300, given probability is 0.15.

To do so, we need to use the binomial distribution, which can be calculated with the specified calculator, or using R, available online.

The probability can be found by finding the cumulative probability, from a sample of 300 students

P( <= 51 students with jobs) = binomcdf(300,0.15,51) = 0.8530691

P( <= 38 students with jobs) = binomcdf(300,0.15,51) = 0.1460201

Therefore probability of 39 - 51 students with jobs

= P( <= 51 students with jobs) - P( <= 38 students with jobs)

= 0.8530691 - 0.1460201

= 0.7070491

80%

step-by-step explanation: