Let the mean test score be 80 and standard deviation be 10.

1. Find probability that you will get a score higher than 90.
2. Find the probability that you will receive a score between 75 and 90.
3. Find the probability that you will receive a score less than 60

Please explain more, thanks!

A test for a disease gives a correct positive result with a probability of 0.95 when the disease is present but gives an incorrect positive result (false positive) with a probability of 0.15 when the disease is not present. If 5% of the population has the disease, and Jean tests positive to the test, what is the probability Jean really has the disease?

a) What is the probability that a 5-card poker hand has at least three spades?

(b)What upper bound does Markov’s Theorem give for this probability?

(c)What upper bound does Chebyshev’s Theorem give for this probability?

the other questions have the wrong solution, so please help.

In order to win a game, a player must throw two fair dice and the sum of the dice needs to be either 4 or less or 10 or more for the player to win.

What is the probability that the sum of the dice is 4 or less?

What is the probability that the sum of the dice is 10 or more?

What is the probability that the player will win the game?

1. A videogame player has to play five opponents in consecutive order. She has an 80% probability of defeating each of them. Assume the results from opponents are independent and that when the player is defeated the game ends.

a. Describe the outcomes of 1 random process, and then build a probability tree showing what happens if the player defeats the first, second, third, fourth opponent.

b. What is the probability that the player defeats all opponents?

c. What is the probability that the player defeats at least two opponents in a game?

2. A national survey of couples showed that 30% of wives watched “America’s Next Top Model”. For husbands in the sample, this percentage was 50%. Also, if the wife watched, the probability that the husband watched increased to 60%. For a couple drawn at random, what is the probability that:

a. Both watch
b. At least one watches
c. Neither watches
d. If the husband watches, the wife watches
e. If the husband does not watch, the wife watches

Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 70% of wolves in the region are male, and 30% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male? What is the probability that 8 or more were female? What is the probability that fewer than 5 were female? (b) For the period from 1918 to the present, in a random sample of 11 wolves spotted in the region, what is the probability that 8 or more were male? What is the probability that 8 or more were female? What is the probability that fewer than 5 were female?

In a car racing competition, four car brands are competing, each having two cars representing them. Cars from the same company have the same probability of winning. Each of the cars from Acura, Alfa Romeo and Audi has the same probability of winning the match, while each of Aston Martin’s cars has the probability of winning 1.66 times the probability of winning for each of the other brands’ cars.

(a) What is the chance of winning for each of the Aston Martin's cars?
Round your answer to one decimal place (e.g. 98.7).

(b) What is the chance of winning for each other cars?
Round your answer to one decimal place (e.g. 98.7).

(c) What is the probability of winning for Aston Martin brand?
Round your answer to one decimal place (e.g. 98.7).

(d) What is the probability of winning for each other brand?
Round your answer to one decimal place (e.g. 98.7).

A box contains 8 red balls, 4 green balls, and 3 blue balls. You pull 2 balls from the box (one at a time) WITHOUT replacement.

**LEAVE ALL ANSWERS AS FRACTIONS**

Find the probability of the following:

a.) P(Red on 1st ball AND Red on 2nd ball) =

b.) P(Green on 1st ball AND Red on 2nd ball) =

c.) P(Blue on 1st ball AND Green on 2nd ball) =

d.) What is the probability of drawing 2 green balls in your 2 pulls?

e.) What is the probability of selecting a red ball on your second pull, given a red ball was already selected on the first pull?

f.) What is the probability of drawing one red ball and one green ball (in either order)?

g.) What is the probability or selecting two balls of the same color?

h.) What is the probability or selecting two balls of different colors?

A study reports that % of companies in Country A have three or more female board directors. Suppose you select a random sample of 100 respondents. Complete parts (a) through (c) below. 36 a. What is the probability that the sample will have between % and % of companies in Country A that have three or more female board directors? 29 40 The probability is . (Round to four decimal places as needed.) b. The probability is % that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? 60 The probability is 60 % that the sample percentage will be contained above % and below %. (Round to one decimal place as needed.) c. The probability is % that the sample percentage of Country A companies having three or more female board directors will be contained within what symmetrical limits of the population percentage? 95 The probability is 95 % that the sample percentage will be contained above % and below %. (Round to one decimal place as needed.)