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Complete the statement. Round your answer to the nearest thousandth. $\newline$ In a population that is normally distributed with mean $52$ and standard deviation $25$ , the bottom $90\%$ of the values are those less than ___.

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Precalculus

Find values of normal variables

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Q. Complete the statement. Round your answer to the nearest thousandth.

\newline

In a population that is normally distributed with mean

52

and standard deviation

25

, the bottom

90\%

of the values are those less than ___.

Find z-score: We need to find the z-score that corresponds to the bottom $90\%$ of a normal distribution.
Use z-table: Using a z-table, we find that the z-score for the bottom $90\%$ is approximately $1.28$ .

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A restaurant server claims that $28$% of the time he leaves candy with the bill, the customer tips well.

\newline

If the server's claim is true, and one day he leaves candy with $4$ customers' bills, what is the probability that exactly $3$ of those customers will tip well?

\newline

Write your answer as a decimal rounded to the nearest thousandth.

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There are two different raffles you can enter.

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X

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and standard deviation

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\newline

What is the probability that

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\newline

Use the

0.68-0.95-0.997

rule and write your answer as a decimal. Round to the nearest thousandth if necessary.

\newline

____

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X

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65

and standard deviation

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\newline

What is the probability that

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Write your answer as a decimal rounded to the nearest thousandth.

\newline

____

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Complete the statement. Round your answer to the nearest thousandth.

\newline

In a population that is normally distributed with mean

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and standard deviation

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, the bottom

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of the values are those less than ______.

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Posted 9 months ago

Question

Y

is the number of desserts available in a randomly chosen restaurant.

\newline

Is the random variable

Y

discrete or continuous?

\newline

Choices:

\newline

\text{[A]discrete}

\newline

\text{[B]continuous}

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Posted 9 months ago

Question

Which of the following functions are continuous for all real numbers?

\newline

g(x)=\ln (x)

\newline

f(x)=\frac{1}{x}

\newline

Choose

1

answer:

\newline

(A)

g

only

\newline

(B)

f

only

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g

and

f

\newline

D Neither

g

nor

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Posted 9 months ago

Question

Which of the following functions are continuous at

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\newline

g(x)=\sin (x+1)

\newline

f(x)=\frac{1}{x-1}

\newline

Choose

1

answer:

\newline

(A)

g

only

\newline

(B)

f

only

\newline

g

and

f

\newline

(D) Neither

g

nor

f

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Posted 8 months ago

Question

Let

g

be a continuous function on the closed interval

[-1,4]

, where

g(-1)=-4

and

g(4)=1

\newline

Which of the following is guaranteed by the Intermediate Value Theorem?

\newline

Choose

1

answer:

\newline

(A)

g(c)=-3

for at least one

c

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-1

and

4

\newline

(B)

g(c)=3

for at least one

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and

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\newline

(C)

g(c)=-3

for at least one

c

between

-4

and

1

\newline

(D)

g(c)=3

for at least one

c

between

-1

and

4

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Complete the statement. Round your answer to the nearest thousandth.\newlineIn a population that is normally distributed with mean 525252 and standard deviation 252525, the bottom 90%90\%90% of the values are those less than ___.

Complete the statement. Round your answer to the nearest thousandth. $\newline$ In a population that is normally distributed with mean $52$ and standard deviation $25$ , the bottom $90\%$ of the values are those less than ___.