Statistics and Probability Answers

A survey was conducted at a company with 100 employees. The company employs 51 full-time employees and 49 part-time employees. A survey asked how do the employees come to work?
1) Public Transportation: 15
2) Bicycle: 8
3) Drive alone: 59
4) Carpool: 18

A question paper consists of two sections having respectively 3 and 5 questions. the folowing note is given on the paper "It is not compulsary to solve all questions". One question from each section is compulsary. In how many ways candidate can select a question

chloe records the number of goals scored by her favourite football team in each of 40 matches.

number of goals frequency
0 7
1 15
2 13
3 2
4 2
5 1

calculate the mean number of goals scored per match.

How to prove this theorem:

Let A and B be independent random variable, such that AB is a degenerate random variable. Then A and B are also degenerate.

Rockets are launched until the first successful launching
has taken place.if this does not occur within 5 attempts,the
experiment is halted and the equipment inspected.suppose that
there is a constant probability of 0.8 of having a successful
launching and that successive atempts are independent.Assume
that the cost of the first launching is K dollars while subsequent
launching cost K/3 dollars.whenever a successful launching take place,a certian amount of information
is obtained which may be expressed as financial gain of,say 'C' dollars.if 'T' is the net cost of this
experiment,find the probability distribution of T?

The calculated p-value for a hypothesis test is 0.084. What decision about the null hypothesis would occur in the following: The hypothesis test is completed at the 0.10 level of

Heights of men on a baseball team have a bell-shaped distribution with a mean of 180 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between 162 cm and 198 cm?

A frequently held lottery sells 100 tickets at $1 per ticket every time it is held. One of the tickets must be a winner. A player has $50 to spend. To maximize the probability of wining at least one lottery, should he buy 50 tickets in one lottery or one ticket in 50 lotteries?

An insurance company has discovered that only about 0.1% of the population is involved in
a certain type of accident each year. If its 10000 policy holders were randomly selected from
the population, what is the probability that not more than 5 of its clients are involved in such an
accident next year?

The quartiles of a normal distribution are 10 and 18 respectively. Find the approximate mean and standard deviation of the distribution?