Math Answers

A gynecologist claims that the average birth weight of babies of mothers who used vitamin pills is higher than that of mothers who did not. The average birth weight of the population is 8.6 lbs. State the null and alternative hypotheses.

What is the value of P(9.1)? What does it tell is about the side length and perimeter of the square?

Seven hundred tickets will be sold and these will be raffled during the fiesta of Brgy. Masiete. One of these tickets will win ₱10,000 and the rest will win nothing. What will be the expected value and variance of your gain if you will buy one of the tickets? 

dy/dx= y(xy^(5) − 1)

7. Differentiate the function x = y ^ 4 - 2y ^ 3

8. Differentiate the function t = 1/2 * t ^ 4 - 5t - 3

9. Differentiate the function y = (x ^ 2 - 2) ^ 2

10. Differentiate the function y = 1/(x + 7)

11. Find the slope of function y = 1/(x ^ 2), 12, 1/4 12. Find the slope of function y^ 2 =4x.(1,2)

13. Find the slope of function y = 1/(x + 1), (- 2, 1)

An installation technician for a specialized communication system is dispatched to a

city only when three or more orders have been placed. Suppose orders follow a

Poisson distribution with a mean of 0.25 per week for a city of 100,000 and suppose

your city contains a population of 800,000.

a) What is the probability that a technician is required after a one-week period?

b) If you are the first one in the city to place an order, what is the probability that you

have to wait more than two weeks from the time you place your order until a

technician is dispatched?

A local drugstore owner knows that, on average, 100 people enter his store each hour.

a) Find the probability that in a given 3-minute period nobody enters the store.

b) Find the probability that in a given 3-minute period more than 5 people enter the

store.

The number of telephone calls that arrive at a phone exchange is often modeled as a

Poisson random variable. Assume that on the average there are 10 calls per hour.

a) What is the probability that there are exactly 5 calls in one hour?

b) What is the probability that there are there are exactly 15 calls in two hours?

c) What is the probability that there are exactly 5 calls in 30 minutes?

Suppose that the number of customers that enter a bank in an hour is a Poisson

random variable, and suppose that 𝑃(𝑋 = 0) = 0.05. Determine the mean and

standard deviation of 𝑋.

Service calls come to a maintenance center according to a Poisson process, and on

average, 2.7 calls are received per minute. Find the probability that

a) no more than 4 call in any minute;

b) fewer than 2 calls come in any minute;

c) more than 10 calls come in a 5-minute period.