During a fund-raising drive, 500 raffle tickets are old at $1 each. One ticket will win the  first prize worth $20; 3 tickets will win second-prizes worth $10 each; and 10 tickets will  win third-prizes worth $5 each. Assuming that each person buys only one ticket, let x be a  ticket buyer’s net winnings. (a) Find the probability distribution of x. (b) Find the probability that a ticket buyer wins no more than $10. (c) Find the mean of x. Interpret the answer in plain language.

Q: Assume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.5 and P (C) =…

A: Given: PA=0.2PB=0.5PC=0.1 A, B and C are independent events.  Since they are independent events,…

Q: Throw one thousand dice at the same time and write and draw the probability distribution for the sum…

A: Let x denote the face number of a die. Then, x can take values 1,2,3,4,5 and 6. Suppose in 1000 dice…

Q: Find the probability ​P(Ec​) if ​P(E)=0.25.

A: We want to find vlaur of people(Ec)

Q: A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false…

A:

Q: Aylin wrote a phone app. She has noticed that 25% of the users who download her app upgrade it the…

A: The variable X be the number of customers who download Aylin's app until one upgrades it on the same…

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: The data show the daily high temperature in a town every day for a week. Mon Tue Wed Thu Fri Sat Sun…

A: Given that  Mon Tue Wed Thu Fri Sat Sun 76°F 78°F 81°F 74°F 69°F 69°F 70°F

Q: Based on historical data kept by a business school, the probability distribution for students who…

A: Given Observation and Calculation

Q: A certain disease has an incidence rate of 0.2%. If the false negative rate is 4% and the false…

A:

Q: Obtain the probability distribution of X that shows the number of heads in a three tosses of a coin.

A: Consider X be the random variable that could take the values 0, 1, 2 and 3. The sample space could…

Q: 84% of all the field goals he kicks during in-season games. Assume each kick is independent of the…

A: Let X be the random variable from binomial with probability (p) = 84% = 0.84 and sample size (n) =…

Q: Assume that private preschool costs in the city are normally distributed. The average amount that…

A: We are given that,

Q: Find the probability P(Ec​) if ​P(E)=0.42.

A:

Q: A certain disease has an incident rate of .1%. If the negative rate is 5% and the flase positive…

A: Given: An incident rate of 0.1% negative rate is 5% positive rate is 4%  compute the probability…

Q: Find the joint probability of A and B for the following. P(B)=0.43 and  P⁢ (A|B)=0.53 Enter the…

A: Given : PB=0.43PA|B=0.53 We have to find joint probability of A and B i.e. PA and B

Q: While gathering eggs one day, Lisa has 15 eggs when Liana has 20 eggs at the moment when they…

A: Total number of eggs that Lisa has to throw at Liana = 15 Probability of rotten egg = 10% = 0.1 Let…

Q: A physics class has 40 students. Of​ these, 16 students are physics majors and 18 students are…

A: GivenTotal No. of students=40No.of physics majors=16No.of female =18No.of females and physics…

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: Customers enter a department store at random at an average rate of six per minute. Determine the…

A: Customers enter a department store at random at an average rate of six per minute. Determine the…

Q: Find the probability of the indicated event if ​P(E)=0.25 and ​P(F)=0.55. Find​ P(E and​ F) if​ P(E…

A: Here we need to find P(E and F).

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour,…

A:

Q: Six males of whom two are of blood type A, the other two of blood type B and the last two of blood…

A: Given information: 6 males of whom 2 are of blood type A, the other 2 of blood type B and the last 2…

Q: e the data in the following table, which summarizes results from 15 Pedestrian Intoxicated? Yes No…

A: Solution: The given table of data is

Q: Customers enter a department store at random at an average rate of six per minute. Determine the…

A:

Q: Find the probability P(Ec​) if P(E)=0.22.

A: Given: PE=0.22

Q: Find the probability of the indicated event if ​P(E)=0.25 and P(F)=0.45.

A: From the given information, ​P(E)=0.25 and P(F)=0.45 P(E and​F)=0.10.

Q: Find the probability of the indicated event if P(E)=0.30 and P(F) = 0.40. Find P(E or F) if P(E and…

A: From the provided information, P (E) = 0.30 and P(F) = 0.40 And P (E and F) = 0.20

Q: A number of customers arrive at a cafeteria during lunch hour at an average rate of 0.025 per…

A: Reviewing information, X: Average rate of arrival of customers= 0.025 per second

Q: A radioactive source emits particles at an average rate of one every 12   seconds. Find the…

A: Given problem Given that   A radioactive source emits particles at an average rate of one every 12…

Q: Suppose it takes a child between 4.5 and 12 minutes to eat an ice cream cone. Let X= the time, in…

A:

Q: Find the probability of the indicated event if ​P(E)=0.30 and ​P(F)=0.45. Find​ P(E or​ F) if​ P(E…

A: Solution: From the given information,

Q: In class, the probability that a student reviewed only his/her lesson a night before the quiz is…

A: Solution: From the given information, the probability that a student reviewed his/her lesson a night…

Q: The average number of phone inquiries each day at the customer service is 40. Find the probability…

A:

Q: A certain disease has an incidence rate of 0.8%. If the false negative rate is 8% and the false…

A:

Q: A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false…

A:

Q: ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 %…

A: Given the sample size, n=244. Also, he has a 7% chance to make a sale to each customer, p=0.07.