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jester estimate that the probability that he will pass statistics and probability is 65%; the probability that he will pass basic calculus is 52%; and the probability of passing both subjects is 45%. find the probability that he will pass at least one of these two subjects



the mean score of random sample of 22 student applicants who took the college entrance examination is calculated to be 76.9 the population standard deviation is known to be 27.4 find the 99% confidence interval for the mean of the entire student applicants (hint: ESTIMATION OF PARAMETERS)


Suppose a box contains 20 red marbles, 12 blue

marbles, 8 green marbles, and 10 yellow marbles. If

you randomly select one marble from the box.

(a) what is the probability that you will have a red

marble?

(b) what is the probability that you will have a green

marble?

(c) what is the probability that you will have a red or

green marble?

(d) what is the probability that you will have a red and

yellow marble?

(e) what is the probability that you will have a red

marble with replacement?

(f) what is the probability that you will have a blue

marble without replacement?

(g) what is the probability that you will have a yellow

marble with replacement?

(h) what is the probability that you will have a green

marble with replacement?


Suppose a box contains 20 red marbles, 12 blue

marbles, 8 green marbles, and 10 yellow marbles. If

you randomly select one marble from the box.

(a) what is the probability that you will have a red

marble?

(b) what is the probability that you will have a green

marble?

(c) what is the probability that you will have a red or

green marble?

(d) what is the probability that you will have a red and

yellow marble?

(e) what is the probability that you will have a red

marble with replacement?

(f) what is the probability that you will have a blue

marble without replacement?

(g) what is the probability that you will have a yellow

marble with replacement?

(h) what is the probability that you will have a green

marble with replacement?


If you randomly select a card from a well-shuffled standard deck of 52 cards, the probability that the card you select is a 5 is


The ages of a certain group of students in a junior high school follow a normal

distribution with a mean of 13 and a standard deviation of 1.5. Find the probability

that a randomly selected student is between 10-16 years old.


The ages of a certain group of students in a junior high school follow a normal

distribution with a mean of 13 and a standard deviation of 1.5. Find the probability

that a randomly selected student is between 10-16 years old.


A machine fills coffee powder in pouches, with an average of 200 gm and a standard deviation of 4 gm. Assuming that the coffee weight is normally distributed. Find the probability that a coffee pouch selected at random will contain the following quantity of a coffee: I) At least 200 gm. II) Between 200 to 206 gm


A machine fills coffee powder in pouches, with an average of 200 gm and a standard deviation of 4 gm. Assuming that the coffee weight is normally distributed. Find the probability that a coffee pouch selected at random will contain the following quantity of a coffee: I) At least 200 gm. II) Between 200 to 206 gm


Find the margin of error if the confidence (significant) level is 95%.

1. n = 100, x = 80, s= 2.5

2. n=250, x = 100, s= 3.25

3. n= 300, x = 250, s = 4.15


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