The heights of women in the U.S. have been found to be approximately normally distributed with a mean of 63.02 inches and the variance to be 9.00 inches.

a) What percent of women are taller than 64.43 inches?
probability =

b) What percent of women are shorter than 61.7 inches?
probability =

c) What percent have heights between 61.7 and 64.43 inches?
probability =

Note: Do NOT input probability responses as percentages; e.g., do NOT input 0.9194 as 91.94

1.      What is the probability of being colorblind?

What is the probability of being Female AND Colorblind?

  What is the probability of being not colorblind OR Female?

What is the probability of being colorblind GIVEN that you are male?

Are sex and colorblindness dependent? Show evidence using probabilities

Please show your work. Thanks.

Suppose that the average price of a 5 year old used car is $16,230 with a standard deviation of $4,740. Assume that the price follows a normal distribution, find the following

1. The probability of an used car is less than $19,000?
2. The probability of an used car is between 13,000, and 18,000?
3. The probability is between 11,000 and 16,000?
4. The probability is greater than 20,000?
5. I’m looking for an used car in the cheapest 10%. How much am I willing to pay for this car?

The attendance at baseball games at a certain stadium is normally distributed, with a mean of 26,000 and a standard deviation of 1200. For any given game:

A) What is the probability that attendance is greater than 27,500?

B) What is the probability that attendance will be 26,000 or more?

C) What is the probability of attendance between 25,000 and 28,000?

D) What must the attendance be at the game, for that game's attendance to be in the top 10% of all games?

E) What is the probability that attendance is less than 23,000?

Giving a test to a group of students, the grades and gender are summarized below

If one student is chosen at random,

Find the probability that the student was female:

Find the probability that the student was female AND got a "A":

Find the probability that the student was male OR got an "B":

Find the probability that the student got a 'B' GIVEN they are female:

In the flue season, people with vaccine protection have probability of 0.2 to be infected by the flue virus, whereas people without vaccine protection have probability of 0.6 to be infected by the virus. For a given population, the proportion of people being vaccinated is 0.7.

a.) Given that a person is infected by the flue virus, what is the probability that the person has not taken the vaccine?

b.) Randomly select one person from this population, what is the probability that this person is infected by the flue virus?

A bag of 34 tulip bulbs contains 13 red tulip​ bulbs, 11 yellow tulip​ bulbs, and 10 purple tulip bulbs. ​(a) What is the probability that two randomly selected tulip bulbs are both​ red? ​(b) What is the probability that the first bulb selected is red and the second​ yellow? ​(c) What is the probability that the first bulb selected is yellow and the second​ red? ​(d) What is the probability that one bulb is red and the other​ yellow?

The probability of getting a false-positive result for a single person, was 0.3%.

What would be the new approximate percentage probability of getting at least one false-positive result, if 650 people had been tested, instead of 550?

What would be the new approximate percentage probability of getting at least one false-positive result, if 550 people are still tested, but the probability of getting a false-positive result for a single person was 0.4% instead of 0.3% ?

The attendance at baseball games at a certain stadium is normally distributed, with a mean of 26,000 and a standard deviation of 1200. For any given game:

A) What is the probability that attendance is greater than 27,500?

B) What is the probability that attendance will be 26,000 or more?

C) What is the probability of attendance between 25,000 and 28,000?

D) What must the attendance be at the game, for that game's attendance to be in the top 10% of all games?

E) What is the probability that attendance is less than 23,000?

The attendance at baseball games at a certain stadium is normally distributed, with a mean of 26,000 and a standard deviation of 1200. For any given game:

A) What is the probability that attendance is greater than 27,500?

B) What is the probability that attendance will be 26,000 or more?

C) What is the probability of attendance between 25,000 and 28,000?

D) What must the attendance be at the game, for that game's attendance to be in the top 10% of all games?

E) What is the probability that attendance is less than 23,000?