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3 years ago

Need help on #18 & #19 please

Mathematics

1 answer:

aliina [53]3 years ago

3 0

Answer:

18: x=2 y=2.5

19: y = 0.5

Step-by-step explanation:

2(2)=4

2.5(2)=5

4+5=9

2×0.5=1

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(a) Find z such that the proportion of observations that are less than z in a standard normal distribution is 0.36. (Enter your

Alisiya [41]

Answer:

a) z = -0.358

b) z = 0.358

Step-by-step explanation:

We are given a standard normal distribution.

a) We have to find the value of z such that the proportion of observations that are less than z in a standard normal distribution is 0.36.

That is,

$P(Z$

This value will be calculated with the help of a standard normal table.

From standard normal table we have,

$P(z\leq -0.358) = 0.36$

Thus, for z equal to -0.358 the proportion of observations that are less than z in a standard normal distribution is 0.36

b) We have to find the value of z such that 36% of all observations from a standard normal distribution are greater than z.

$P(Z>z) = 0.36$

This value will be calculated with the help of a standard normal table.

$= 1 -P( Z > z)=1 - 0.36 = 0.64$

$P( z \leq z)=0.64$

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

$P(z \leq 0.358) = 0.64$

Thus, 36% of all observations from a standard normal distribution are greater than z equal to 0.358

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3 years ago

A stack of boards is 24 inches high.The thickness of each board is 3/8 inch. How many boards are in the stack?

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Answer:

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Step-by-step explanation:

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From 22 potential women jurors and 25 potential men jurors, a jury of 12 is chosen at random. Let X be the number of women selec

Ne4ueva [31]

Answer:

The probability mass function is:

$P(X = x) = h(x,47,12,22) = \frac{C_{22,x}*C_{25,12-x}}{C_{47,12}}$

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability mass of the hypergeometric probability distribution is given by:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this question:

22 + 25 = 47 jurors, so $N = 47$

22 are women, which means that $k = 22$

Jury of 12, which means that $n = 12$ .

Thus

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = x) = h(x,47,12,22) = \frac{C_{22,x}*C_{25,12-x}}{C_{47,12}}$

Which is the probability mass function.

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3 years ago