Math Answers

L + x be a nœemal randome variable with mean 4 and variouse dot alpha Find the probability 8li * e_{s}

1) Between 4 and 6

2) Between 5 and 7.5

3) ・2 and 3.

4) greater them d * 75

5) Less than 4.025.

What is the probability of flipping a coin and getting heads, and then rolling a six-sided

die and getting a result with two or fewer pips showing

How much was borrowed is a simple interest rate of 2.10% was offered payable in 4 months with interest of Php 35.00?

What is the simple interest on a Php 500 loan at 25% interest to be paid at the end of 6 months

A peanut butter seller sells an average of 250 bottles of 1 kg week with a standard deviation of 42 kg. The sales are normally distributed.

a) If a sample of 16 weeks was selected for a study, find the probability that the sample mean is greater than 300 bottles

b) In one year how many weeks would record sales of less than 150 bottles

The operations manager of a large production plant would like to estimate the

amount of time a worker takes to assemble a new electronic component. After

observing 120 of the workers assembling similar devices, the manager noticed

that the mean time was 16.2 minutes. Assuming that the population standard

deviation is 3.6 minutes;

c. Calculate the confidence level that would be required to have the mean

assembly time estimated up to ±15 seconds assuming the sample size

is 120 minutes.

For each of the following sets,

a)     S={1,2,3}, T ={a, b, c}

b)     S={a, b}, T ={1,2,3,4}

c)     S={1,2,3,4}, T ={a, b}

Determine whether

1.     There is a one-to-one function f: S→T;

2.     There is an onto function f: S→T; and

3.     If there is a bijective function f: S→T.

4.     For each (1–3) if such a function exists, explicitly give it. If no function exists give a short explanation?

Unfortunately, arsenic occurs naturally in some groundwater. A mean arsenic level of \mu=8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas us used to water cotton crops. This well is tested regular basis for arsenic. A random sample of 37 tests gave a sample mean \bar{x}=7.2 pbb of arsenic, with s = 1.9 pbb. Does this information indicate that the mean of arsenic in this well is less than 8 pbb? Use \alpha=0.01

Ahmad Fishing Line Inc. produces 10kg test line. 12 randomly selected spools are subjected to tensile-strength tests. The results are as follows:

9.8      10.2    9.8      9.8      9.6      9.1

9.7      9.7      10.1    9.4      10.1    9.7

Use the fact that tensile strength is normally distributed to decide whether Ahmad Fishing Line’s 10kg test line is not up to specifications. Perform the required hypothesis test at 5% significance level.

Verify Rank-nullity theorem for the linear transformation T:R³----->R³ defined by T(x,y,z)=(x-y, 2y+z, x+y+z).