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Roman55 [17]
3 years ago
14

Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. R

efer to Exhibit 5-8. What is the probability that among the students in the sample exactly two are female?
Mathematics
1 answer:
expeople1 [14]3 years ago
8 0

Answer:

P(X=2)=0.04129

Step-by-step explanation:

-This is a binomial probability problem whose function is expressed as;

P(X=x)={n\choose x}p^x(1-p){n-x}

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129

Hence, the probability of exactly two females is 0.04129

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48 + 12 = 60

60 + 12 = 72

An 'Arthimetic sequence' is what is presented in this question.

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Consider random samples of size 80 drawn from population A with proportion 0.48 and random samples of size 66 drawn from populat
gogolik [260]

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

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3 years ago
Standard issue passenger license plates in Ohio consist of three letters followed by four numbers. How many standard issue licen
dezoksy [38]

Answer:

The standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 175760000

Step-by-step explanation:

If there are no restrictions, all numbers and letters are available to be used then. And with no restrictions, every number or letter can appear more than once.

There are 7 spaces available; 3 spaces for letters, 4 spaces for numbers

The different combination of letters and numbers then becomes,

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This is because, all 26 letters (A to Z) can occupy the first space, the second space and the third space. And all 10 digits (0 to 9) can occupy the fourth space, the fifth space, the sixth space and the seventh space.

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3 years ago
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