Answer:
Step-by-step explanation:
find the attachment showing std normal curve symmetrical about y axis.
Equal probabilities on either side of the mean thus the total probability to the right of mean is 0.50
From the table we can find that
a) P(Z>2.5) = 0.5- area lying between 0 and 2.5
= 0.5-0.4938 =0.0062
b) P(1.2<z<2.2) = F(2.2)-F(1.2)
= 0.9861-0.3849
=0.6012
Answer:
a) 0.004
b) 0.9609
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 76503
Standard Deviation, σ = 8850
We are given that the distribution of annual salaries is a bell shaped distribution that is a normal distribution.
Formula:
a) P(salary greater than 100,000)
P(x > 100000)
Calculation the value from standard normal z table, we have,
b) P(sample mean annual salary falls between 70,000 and 80,000 dollars)
Sample size, n = 20
Standard error due to sampling =
Answer:
D
Step-by-step explanation:
We will let d represent the amount of dimes Angela has.
Angel has 5 fewer quarters than twice the number of dimes.
Twice the number of dimes will be 2d.
Then, 5 fewer will yield 2d-5.
Therefore, the amount of quarters Angela has is 2d-5.
Then, the total amount of coins (dimes and quarters) together, will be:
The first part is the amount of dimes.
And the second part is, as we determined, the amount of quarters.
Therefore, our answer is D.
Answer:
Independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
Thus, P(A and B)=P(A)•P(B) is used when two events are independent.