A group of 8 students apply for MBA program at CBA, CSULB. According to the historical data, probability of admittance at MBA pr ogram is .65. Using the formula and showing all work and steps, compute the followings: Probability for the following number of students to get admitted:
3, 2, 1, 0
Probability of at least 4 students get admitted
Expected value of the discrete probability
Standard deviation
1 answer:
Answer:
Probability = 0.894
Expected value = 5.2
Standard deviation = 1.349
Step-by-step explanation:
Given that
p = 0.65
n = 8
q = 1 - p
= 1 - 0.65
= 0.35
For P(3)
Which gives result
= 0.0808
For P(2)
Which gives result
= 0.0217
For P(1)
which gives result
= 0.0033
For P(0)
= 0.0002
Now probability is at least getting admitted of 4 students
= 1 - {P(3) + P(2) + P(1) + P(0)}
= 1 - (0.0808 + 0.0217 + + 0.0033 + 0.0002)
= 1 - 0.106
= 0.894
Expected value =
= 5.2
Standard deviation
= 1.349
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