Statistics and Probability Answers

given: x=60 and s=6 find the z-score that corresponds to each of the following scores up to two decimal places

a. x=70

b. x=58

For a population 0,4,8,12, construct the sampling distribution of mean for samples of size 2 taken with replacement and the find its mean and standard error

X. 1 2 3 4 5

P(x) 1/6 a/6 5/24 a/6 a/12

Find a

Find P(4)

Find P(5)

Pa answer na po kaagad

Find each of the following percentile points and draw the appropriate normal

curve. Complete your procedures.

1.The results of the entrance examination for freshmen are normally distributed

with 𝑥 = 87 and 𝑠 = 12.5. What is the percentile rank of a score of 90?

There are 7 boys and 5 girls in a youngsters’ club. A committee of 3 boys and 2 girls is to be chosen. How many different possibilities are there?

Fit a least square linear approximation Y=a+bX for the data X: -1, 0, 1, 2, 3 and Y: 0, 1, 2 , 9, 29  

A certain type of flashlight battery lasts on the average of 5 years with a standard deviation of 0.75 year. Assuming that the battery lives are normally distributed, find the probability that a given battery will last less than 3.5 years Find the probability

The result of NAT scores in Mathematics are normally distributed with μ=70 and σ=10. What is the percentile rank of a score of 75?

A game costs $9.00 to play. In the game, there is a bag that contains 14 balls; 4 are red, 8 are green, and 2 are yellow. The player of the game draws one ball at random from the bag, and the player wins $15.00 if they draw a red ball, nothing if they draw a green ball, and $19.00 if they draw a yellow ball. What is the expected value of this game for the player? Round your answer to the nearest cent