Ask question

Ask question

All categories

3 years ago

7

1. Events A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?

1 answer:

Blizzard [7]3 years ago

8 0

1. Given that e<span>vents A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?
P(BIA)=[P(A and B)]/P(A)
it follows then that:
P(A and B)=P(A)*P(BIA)
P(A)=0.2
P(BIA)=0.25
hence
P(A and B)=0.2*0.25=0.05=5%

2. Given that </span><span> P(A) =12%, P(B)=48% and P(A or B)=50%. What is P(A and B)?
P(A or B)=P(A)+P(B)-P(A and B)
but
P(A)=12%, P(B)=48%, P(A and B)=50%
thus
P(A or B)=12%+48%-50%
simplifying the above we obtain:
P(A or B)=60%-50%=10%

</span>

You might be interested in

Nazerhy deposits $8,000 in a certificate of deposit. the annual interest rate is 6%, and the interest will be compounded quarter

Bess [88]

The worth of the certificate in 10 years would be $14,512.15

Compound Interest and Its Formula

Compound interest is the type of interest based investment that causes initially modest sums of money to eventually increase to big sums. The formula for compound interest is given by,

$A = P(1+\frac{r}{n})^{nt}$

Here,

A is the final worth of the investment

P denotes the Principal amount of money that is invested

r denotes the rate of the compound interest

t denotes the time period in years

n denotes the number of times interest is compounded in one year

Given Information

P = $8,000

r = 6% = 0.06

n = 4 (∵ Compounded quarterly)

t = 10 years

Solving for A

Substituting the values of P, r, n, and t in the above mentioned formula of compound interest, we get,

$A = 8,000(1+\frac{0.06}{4})^{4*10}$

$A = 8,000(\frac{4.06}{4})^{40}$

$A = 8,000* 1.8140184$

$A = 14,512.14726$

Rounding the answer to two decimal places, we get,

$A = 14,512.15$

Therefore, Nazerhy would get $14,512.15 after 10 years.

Learn more about compound interest here:

brainly.com/question/26457073

#SPJ4

7 0

2 years ago

Last years freshman class at big state university totaled 5,305 students of those 1258 received a merit scholarship to help offs

Leokris [45]

Using the normal distribution, it is found that 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation for the amounts are given as follows:

$\mu = 3456, \sigma = 478$

The proportion is the <u>p-value of Z when X = 4250</u>, hence:

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

$Z = \frac{4250 - 3456}{478}$

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

Hence 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0

2 years ago

Function f, shown below, is translated down 3 units and left 4 units to create function g.

pantera1 [17]

Answer: G(x) = 3|x + 2| - 8

<u>Step-by-step explanation:</u>

"a" represents the vertical stretch <em>(or shrink)</em>

"h" represents the x-coordinate of the vertex

x-axis goes left and right

"k" represents the y-coordinate of the vertex

y-axis goes up and down

F(x) = 3|x - 2| - 5

G(x) = 3(x - 2 + 4| - 5 - 3

= 3|x + 2| - 8

6 0

4 years ago

Read 2 more answers

What is the value of p2 + r3, when p = 2 & r = 3?

Lilit [14]

answer is 13

I hope it helpful

7 0

3 years ago

Read 2 more answers

PLZ HELP i will give brainliest <3

solmaris [256]

step by step have no idea but it's a

7 0

3 years ago

Read 2 more answers