Question

A group of 8 students apply for MBA program at CBA, CSULB. According to the historical data,

probability of admittance at MBA program is .65. Using the formula and showing all work and steps,

compute the followings:

1.

Probability for the following number of students to get admitted:

3, 2, 1, 0

2.

Probability of at least 4 students get admitted

3.

Expected value of the discrete probability

4.

Standard deviation

Answer 1

Thank you.

solution : - from the given data, - Here, who X: students get admitted in MBA program. ~ Binomial (8,0.65), (x-x) & (0.65)* 10.35) [ Note: il is assumed that students admitted in a Program that is independent of other students ] 1) P(x=0) + P(x=1) + P(x=2) + P(x-3) 28 (0.35) + 8,60-65) (0-35)+ $c260-65)*(0-35,448cz (06) 035) - 1o 1060gogona] 2) P(xzu) = 1- [P( x0) + P(x=1) + P(x=2) + P(x=3)] 1- 0.1060909 oua = 10.8939090951] 3) Expected value anp - 8x0.65 4) Standard deviation. variance anPli-P) - 8x0.65 40.35 - 1.82 standard deviation = 21.82 = 1.349073756