Hi please help me answer these questions

1. [8] Suppose test scores in a large class are normally distributed with a mean = 65 and a standard deviation of = 7 .

a. Use the 68-95-99.7 Rule to find the probability that a randomly selected student scored less than 72.

b. Find the probability that a randomly selected student scored between 51 and 79.

2. [3] Two students, Will and Jill, are enrolled in two different sections of the same course. Test scores for each section are normally distributed. Will's section has a mean of 64 and a standard deviation of 10. Jill's section has a mean of 69 and a standard deviation of 7. Will got a raw score of 75, while Jill got a raw score 76. Which student scored higher relative to their section? Explain your reasoning and include all relevant calculations.

3. [12] Answer the following: a. A coin is flipped 4 times. Find the probability of getting "tails" on all 4 flips.

b. A die (singular form of dice) is rolled twice. Find the probability of getting a "5" or "6" both times.

c. A card is drawn at random from a standard deck of cards. Find the probability that the card is a Queen or a King.

NOTE: You do not have to reduce the fraction.

d. Two cards are drawn at random from a standard deck of cards, without replacement. Find the probability that both cards are clubs.

NOTE: You do not have to reduce the fraction.

4. [9] Consider the following set of home prices for a certain neighborhood:

$73,000 $89,000 $85,000 $83,000 a. Find the mean home price.

b. Find the median home price.

c. Find the range of home prices for this neighborhood.