Statistics and Probability Answers

The names of 5 men and 5 women are written on slips of paper. Four names are drawn. 

Find the probability using hyper geometric distribution that 2 are men and 2 are 

women?

A bag contains so many pink and yellow balls. A person can have 2 balls. Given that one of the balls is pink, what

is the probability that the other one is also pink?

(b) One hundred cars enter for a road-worthiness test which is in 2 parts mechanical and electrical. A car can only

pass if it passes both parts. Half the cars fail the electrical test and 62 pass the mechanical. 15 pass the electrical

and fail the mechanical test.

Find the probability that:

(i) A car chosen at random given that it has failed, failed the electrical test only

(ii) The Probability of fails on one test only will be

A fair six-sided dice is thrown and the scores are noted.

Event X: The total of the two scores is 4.

Even Y: The first score is 2 or 5.

a) Are events X and Y independent

A fair six-sided dice is thrown and the scores are noted.

Event X: The total of the two scores is 4.

Even Y: The first score is 2 or 5.                                       

b)             Find the probability of X and Y.                                                                        

Direction: Read job vacancies posts on the classified ads section of a newspaper. Then,

draw conclusions about the type of people who will apply for each job. Write your conclusions

based on facts and include the

newspaper clippings where you got the information.

A librarian of a school claims that all their senior high school students read 

an average of 10 books a month. A random sample of senior high students 

read an average 12 books. The confidence statement is 95%.

Three missiles are fired at a target. If the probabilities of hitting the target are 0.3, 0.4, 0.6 respectively, and the missiles are fired independently, what is the probability that (i) all missiles hits the target (ii) exactly one hit the target (iii) no more than one hit the target?

how to get this (p=0.0381) from the question d) below

The calculated value of chi- square (10.14) with 4 degree of freedom at 1% level of significance level

The p-value is p=0.0381

Find the probability that a randomly selected senior high school student spends less than 21 hours or greater than 30 hours

A psychologist believes that it will take at least an hour for certain disturbed children to learn a task. A

random sample of 35 of these children results in a mean of 50 minutes to learn the task. Should the

psychologist modify her belief at 0.01 level if the population standard deviation can be assumed to be 15

minutes.