Mathematics, 27.07.2019 22:30 AdanNava699

Auniversity administrator expects that 25% of students in a core course will receive an a. he looks at the grades assigned to 60 students. the probability that the proportion of students that receive an a is 0.20 or less is

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Answer from: habah2062

18.67% probability that the proportion of students that receive an a is 0.20 or less.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 0.25$ .

The standard deviation of a proportion $\pi$ is given by the following formula.

$\sigma = \sqrt{\frac{\pi(1-\pi)}{n}}$

A university administrator expects that 25% of students in a core course will receive an a. There are 60 students. So $\pi = 0.25, n = 60$ and $\sigma = \sqrt{\frac{0.25*(0.75)}{60}} = 0.0559$

The probability that the proportion of students that receive an a is 0.20 or less is

This is the pvalue of Z when X = 0.2. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.2 - 0.25}{0.0559}$

Z = -0.89

Z = -0.89 has a pvalue of 0.1867.

So there is an 18.67% probability that the proportion of students that receive an a is 0.20 or less.

Answer from: Quest

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

Answer from: Quest

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

Need 45 ! compare the rates at which each of the three students read: which student read at a fa

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