Statistics and Probability Answers

A club consists of four girls and six boys.
a. In how many ways can a committee of three people be chosen?
b. In how many ways can two boys and two girls be chosen to attend a competition?
c. In how many ways can three boys be chosen?
d. What is the probability that three boys will be chosen?

suppose we measured the height of 3000 women and found that the data were normally distributed with a mean of 64 inches and a standard deviation of 4 inches. answer the following
what proportion of women can be expected to have heights less than 57, 61, 67.4, 72 inches

Given 2 independent random vars X & Y. -2 -1 3 -1 0 2 and 0.2 0.3 0.5 0.2 0.4 0.4
Show distribution and calculate Expected value and variation of random variables 3X-2Y, X*x+y*y and X*Y.

From a deck of well-shuffled cards, you keep drawing cards. What is the average number of cards you need to draw before you get an ace?

It is said that sufferers of a cold virus experience symptoms for seven days. However, the amount of time is actually a normally distributed random variable whose mean is 7.5 days and whose standard deviation is 1.2 days. a. What proportion of cold sufferers experiences less than 4 days of symptoms? b. What proportion of cold sufferers experiences symptoms for between 7 and 10 days?

Suppose that X has a Poisson distributions if P(X=1)=0.3 and P(X=2)=0.2, calculate P(X=0) and P(X=3).

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for college admissions in the United States. Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that qualifies for the scholarship?

Person A choses a random real number a from 0 to 2 , Person B choses a random real number b from 0 to 2

What is the probability that | a - b | > 1/3

in words: what is the probability that the absolute value of the difference is higher than 1/3

A tennis player makes a successful first serve 77% of the time. If she serves 6 times what's the probability she gets: exactly 5 serves, at least 4 serves, no more than 4?

What is the probability in decimals that one card\'s position is unchanged after a hard shuffle of 4 sets of 52 cards each?
(answer in decimals)