Help I don't understand

MAVERICK [17]

Four and seven thousand sixty-five hundred thousandths, I believe

3 0

3 years ago

It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins

katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0

3 years ago

Which phrase can be represented by an equation? twice as much as a number 12 less than a number half of a number is 15 the diffe

jeka57 [31]

Answer:

Half of a number is 15

Step-by-step explanation:

First of all, add commas between each option so it's easier to read I had a hard time figuring out what the options were because of this.

An equation is a statement that the values of two mathematical expressions are equal. An expression is a collection of symbols that jointly express a quantity. This means there has to be an equal sign when the phrases are put into numerical form.

Twice as much as a number: 2X

12 less than a number: X - 12

Half of a number is 15: X/2 = 15

The difference of 20 and a number: 20 - X

As you can see, only one of these phrases is an equation by definition, and that is X/2 = 15, or half of a number is 15. That's because it's the only one that values two expressions as equal.

4 0

3 years ago

Read 2 more answers

How would I find the size of angle x

ivolga24 [154]

Answer: the answer would be 7

Step-by-step explanation:

jhgfdsdfgh jhgfvghj iuygtfdfghj ytfrdcvbnm iuytgfcv jhgfcvb jiuytgfcvb kiuytfcv kjhgfc kjhgfc

8 0

3 years ago

A statistician selected a random sample of 125 observations from a population with a known standard deviation equal to 16 and co

serious [3.7K]

Answer:

Step-by-step explanation:

Given that a statistician selected a random sample of 125 observations from a population with a known standard deviation equal to 16 and computed a sample mean equal to 77

We can use Z critical values since population std deviation is known. Also sample size >30

We find std error of mean = $\frac{16}{\sqrt{125} } \\=1.4311$

Margin of error = Z critical value * 1.4311

Z critical values for 93% = 1.81

for 89% = 1.60

n Std error Z critical Conf interval

89%

125 1.4311 1.6 (74.71024 79.28976 )

93%

1.81 (74.409709 79.590291 )

We find that when confidence level increases interval width increses.

c) When sigma changes to 441, std error changes to $\frac{16}{\sqrt{441} } \\=0.7619$

So we get

n Std error Z critical Conf interval

89%

441 0.7619 1.6 (75.781 78.219 )

93%

1.81 (75.621 78.37904)

d) When n = 625, std error changes to 16/25 = 0.64

n Std error Z critical Conf interval

89%

441 0.64 1.6 (75.976 78.024 )

93%

1.81 (75.842 78.1584)

When sample size increases, confidence interval width decreases.

8 0

3 years ago