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8_murik_8 [283]
2 years ago
12

A small university has 200 first-year students. Historically at this university, 88% of first-year students graduate in four yea

rs. Assume that whether or not one student graduates is independent of whether or not another student graduates. Let X represent the number of first-year students who graduate in four years. What are the mean and standard deviation X?
Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
6 0

Answer: c is the answer . 176, 4.60

Step-by-step explanation:

just trust me bro

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Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(person is between 160 and 170 centimeters)

P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%

b) P(person is higher than 190 centimeter)

P(x > 190)

P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)

= 1 - P(z \leq 1.2328)

Calculation the value from standard normal z table, we have,  

P(x > 190) = 1 - 0.891 = 0.109 = 10.9\%

7 0
2 years ago
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