PLEASE HELP ASAP 8) Approximately 71% of all modern college students claim that the main reason they are attending college is tomake more money after graduation. In 1967, approximately 83% of all college students claimed that they wereattending college primarily to develop a meaningful philosophy of life. Let n = 1, 2, 3.... Represent the firstperson who is a college student selected at random who says he or she is in college primarily to make moremoney after graduation.a) Write out a formula for the probability distribution of the random variable nb) Find the probability that n = 1, n = 2, n 23c) Repeat parts (a) and (b), where n represents the first person who was a college student in 1967selected at random who claimed the primary reason for attending college was to develop a meaningfulphilosophy of life

Answered: 8) Approximately 71% of all modern…

MATLAB: An Introduction with Applications

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PLEASE HELP ASAP

8) Approximately 71% of all modern college students claim that the main reason they are attending college is to
make more money after graduation. In 1967, approximately 83% of all college students claimed that they were
attending college primarily to develop a meaningful philosophy of life. Let n = 1, 2, 3.... Represent the first
person who is a college student selected at random who says he or she is in college primarily to make more
money after graduation.
a) Write out a formula for the probability distribution of the random variable n
b) Find the probability that n = 1, n = 2, n 23
c) Repeat parts (a) and (b), where n represents the first person who was a college student in 1967
selected at random who claimed the primary reason for attending college was to develop a meaningful
philosophy of life

Expert Solution

Step 1

Let, N = First person who is a college student and is primarily in college to make more money after graduation.

(a) The probability distribution function of the random variable n is a geometric distribution with parameter p=71%.

The formula is;

$P (N = n) = \{\begin{cases} p {(1 - p)}^{n - 1}, n = 1, 2, 3, . . . \\ 0, o t h e r w i s e \end{cases} \Rightarrow P (N = n) = \{\begin{cases} 0.71 {(1 - 0.71)}^{n - 1}, n = 1, 2, 3, . . . \\ 0, o t h e r w i s e \end{cases}$

(b)

$n = 1 P (N = 1) = 0.71 \times {(1 - 0.71)}^{0} = 0.71 n = 2 P (N = 2) = 0.71 \times {(1 - 0.71)}^{1} = 0.2059 P (N \geq 3) = 1 - P (N < 3) = 1 - P (N \leq 2) = 1 - [P (N = 1) + P (N = 2)] = 1 - [0.71 \times {(1 - 0.71)}^{0}] - [0.71 \times {(1 - 0.71)}^{1}] = 1 - 0.9159 = 0.0841$

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