Chapter 5, #35 is different in the book than on the answer solutions. Can you please help me w/ the following:

The Center for Medicare and Medical Services reported that there were 295,000 appeals for hospitalization and other Part A Medicare service. For this group, 40% of the first round appeals were successful. Suppose 10 first round appeals have just been received by a Medicare appeals office.

1. Compute the probability that none of the appeals will be successful.

2. Compute the probability that exactly one of the appeals will be successful.

3. What is the probability that at least two of the appeals will be successful?

4. What is the probability that more than half of the appeals will be successful?

World class marathon runners are known to run that distance (26.2 miles) in an average of 143 minutes with a standard deviation of 13 minutes.

If we sampled a group of world class runners from a particular race, find the probability of the following:

**(use 4 decimal places)**

a.) The probability that one runner chosen at random finishes the race in less than 137 minutes.

b.) The probability that 10 runners chosen at random have an average finish time of less than 137 minutes.

c.) The probability that 50 runners chosen at random have an average finish time of less than 137 minutes.

1. In the game Merfergamon, there’s a 22% chance of being dealt a Lone, a 32% chance of being dealt a Dual, and a 27% chance of being dealt a Triple. These are the lowest valued hands. Round to four decimal places if necessary.

a)  What's the probability of being dealt something better?

b) What's the probability of being dealt either a Lone or a Dual in your first hand of cards?

c) What's the probability of not being dealt a Triple?

d) Over 6 deals, assuming the cards are shuffled well enough for separate deals to be independent, what is the probability of getting dealt at least one hand with a Dual?  

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 129 lb and a standard deviation of 34.1 lb.
a. If a pilot is randomly​ selected, find the probability that his weight is between 120 lb and 161 lb.
The probability is approximately 0.4290. ​(Round to four decimal places as​ needed.)
b. If 33 different pilots are randomly​ selected, find the probability that their mean weight is between 120 lb and 161 lb.
The probability is approximately nothing. ​(Round to four decimal places as​ needed.)

You ask your neighbor to water a sickly plant while you are on vacation. If the plant gets water, it will live with probability 0.84. If the plant does not get water, it will live with probability 0.07. You are 75% certain that your neighbor will remember to water your plant. Let W be the event that plant is watered and let L be the event that the plant lives.

a)Draw and label a tree diagram with the correct probabilities.

b) If the plant is dead when you return, what is the probability that your neighbor remembered to water it?

C) What is the probability that the plant will be alive when you return?

Your driving time to work T (continuous random variable) is between 24 and 66 minutes if the day is sunny, and between 49 and 82 minutes if the day is rainy, with a uniform probability density function in the given range in each case.

Assume that a day is sunny with probability Ps = 0.64 and rainy with probability Pr = 1 -Ps.

Your distance to work is X = 50 kilometers. Let V be your average speed for the drive to work, measured in kilometers per minute:

V=T/X

Compute the value of the probability density function (PDF) of the average speed V at V = 0.67

The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of

2.69

inches and a standard deviation of

0.05

inch. A random sample of

10

tennis balls is selected. Complete parts​ (a) through​ (d) below.

b.

What is the probability that the sample mean is less than

2.68 ​inches?

c.What is the probability that the sample mean is between

2.67 and 2.70 ​inches?

d.  The probability is 71% that the sample mean will be between what two values symmetrically distributed around the population​ mean?

e. The probability is 51% that the sample mean will be between what two values symmetrically distributed around the population​ mean?

In a recent study, 35% of people surveyed indicate chocolate was their favorite flavor of ice cream. Suppose we select a sample of 8 people and ask them to name their favorite flavor of ice cream.

How many of those in the sample would you expect to name chocolate? (Round your answer to 1 decimal place.)

What is the probability exactly four of those in the sample name chocolate? (Round the probability to 5 decimal places and the final answer to 4 decimal places.)

What is the probability four or more name chocolate? (Round your probability to 4 decimal places.)

Weights of Northern Pike follow a normal distribution with mean weight of 1.32 pounds and a standard deviation of .6 pounds.

(A). Find the probability a randomly selected pike weights less than 2 pounds.

(B). Find the probability a randomly selected pike weights more than 1 pound?

(C) Find the probability a randomly selected pike weights between 1.2 and 2.2 pounds.

(D)What pike weight corresponds to the 67th percentile?

(E) Suppose you find a random sample of n=16 pike, what is the probability that the sample mean will fall between 1.2 and 2.2 pounds?

There are 10 marbles in a jar. They are identical except for color. Four are Red, three are Blue, two are Yellow and one is White. You draw a marble from the jar, note its color, and set it aside. Then, you draw another marble from the jar and note its color.

a) What is the probability that you draw two Red marbles?

b) What is the probability that you draw a Blue marble GIVEN that you have drawn a Red one?

c) What is the probability that you draw a Blue and a Yellow marble in EITHER ORDER?

d) What is the probability that EITHER marble you draw is White?