Math Answers

A normal random variable X has unknown mean and standard deviation. The probability that X exceeds 4 is 0.9722, and the probability that X exceeds 5 is 0.9332. Find mean and standard deviation.

The finished inside the diameter of a piston ring is normally distributed with a mean of 10 cm and a standard deviation of 0.03 cm.

a) what proportion of rings will have inside diameters exceeding 10.075 cm?

b) what is the probability that a piston ring will have an inside diameter between 9.97 and 10.03 cm?

c) below what value of inside diameter will 15% of the piston rings fall?

Determine wether the following functions is continuous on the given interval. f(x) = √4-x²

Solve the given problem. Dont forget to show your solutions.

1.AA pop fourulstion consist of the four numbers 1,2,4 and 5. List all the possible samples of sizes n=3 wich can be drawn with replacement from the population. Find the following : a. Population mean b. Population variance c. Population standard deviation d. Mean of the sampling distribution of sample means e. Variance of the sampling distribution of sample means f standard deviation of the sampling distribution of sample means

There are 60 science students tn a

Secondary School. 35 of whom study

Chemistry and 30 study Technical

Drawing, 12 out of those students atudy

Biology and chemistry but not Technical

Drawing, 10 study Chemistry but

neither biology nor Technical Drawing 11

study only Technical Drawing and

neither Biology nor Chemistry, 10 also

study Chemistry and Technical Drawing

only

a. How many mdents study all the three

subjects?

b. How many students study biology and

Technical Drawing but not Chemistry?

C. How many students study Biology only?

d How many students study biology all

together.

Show your solution:

1. If the population of ABM students of Malaya Integrated High School has a mean of 12.45, what

is the mean of the sampling distribution of its mean?

2. If the mean of the sampling distribution is 24.29, what is the mean of the population?

3. If a population of HUMS students of Makabayan National High School has a variance of 6.4,

what is the variance of the sampling distribution of the sample mean if the sample size is 4 and all

the possible samples are drawn with replacements?

4. If the population of STEM students of Siyensiya Stand Alone Senior High School has a standard

deviation of 9.4, what is the standard deviation of the sampling distribution of its means? The

sampling distribution was derived with sample size n=3, and all the possible samples were drawn

with replacements.

5. If the population standard deviation is 5.6, what is the population variance

if the base X of the right triangle shown is increasing at the rate of 3 inches per second and the height Y is decreasing at the rate of 2 inches per second, find the rate of change of the area of the triangle when X = 5 inches and Y = 7 inches. Label the units on your answer

expand (1+x)^-2 using binomial theorem

Suppose a random variable  x is best described by a normal distribution with  μ = 60 and   Find the  z-score that corresponds to the value  x = 63.

Suppose a random variable x is best described by a normal distribution with μ = 60 and Find the z-score that corresponds to the value x = 63.