Math Answers

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 813 hours and a standard deviation of 65 hours. Find the probability that a random samples of 34 bulbs will have an average life of greater than 803 hours.

Solve the following system of equations by using the concept of matrices and determinants. 𝟓𝒙 + 𝟕𝒚 + 𝟐 = 𝟎 𝟒𝒙 + 𝟔𝒚 + 𝟑 = 𝟎 (b) Find whether the following series are convergent or divergent √ 𝟏 𝟒 + √ 𝟐 𝟔 + √ 𝟑 𝟖 + ⋯

A commercial bank made a survey to 500 of its clients and ask them how many credit cards they own. In a client is selected at random. What is the probability that the client is female?

construct a probability distribution for the data and draw a histogram for the following:

a. the probabilities that a patient will have 0, 1, 2 or 3 medical tests performed on entering a hospital are 6/15, 5/15, 3/15, and 1/15 respectively l.

b. a die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1/12, 1/12, and 1/12 respectively.

c. a box contains 3 $1 bills. 2 $5 bills. 1 $10 bill. 1 $20 bill.

Determine if the following are probability distributions (if no, state why).

a. x 3 6 9 12 15

p(x) 4/10 2/10 1/10 1/10 1/10

b. x 1 2 3 4 5

p(x) 3/15 1/15 1/15 4/15 6/15

c. x 20 30 40 50

p(x) 1.1 0.2 0.9 0.3

Question text

Madison usually receives 4 letters in the mail each week. Find the probability of receiving 8 letters for the next 2 weeks.

a population consists of the five measurements 2, 6, 8, 3 & 1. how many different samples of size n=2 can be drawn from the population? what is the mean & variance of the sampling distribution of the sample means

I would like to ask for help with discrete mathematics, especially two's complement

1. Using two’s complement representation throughout your calculation, find 31 – 19. 
2.     Using Euclidean algorithm, find the GCD of 123 and 411.  

1.  How many ways can you pick a president, vice-president, and secretary from a group of six boys and five girls if 

a) there are no restrictions?

b) there must be at least one boy chosen?

c) there must be only one girl chosen?

Side effects A drug manufacturer claims that less

than 10% of patients who take its new drug for treat-

ing Alzheimer’s disease will experience nausea. To

test this claim, researchers conduct an experiment.

They give the new drug to a random sample of 300

out of 5000 Alzheimer’s patients whose families have

given informed consent for the patients to participate

in the study. In all, 25 of the subjects experience

nausea. Use these data to perform a test of the drug

manufacturer’s claim at the a = 0.05 significance

level.