EXAMPLE 3 If Esther attempts 3 free-throws, find the probability that she misses at least one free-throw.

Q: a job interview, find the probability that less than three (<3 or 0,1,2) people have come for an…

A: here given, on average 3 persons come to ABC company for job interview so λ = 3 persons per day here…

Q: 70. Basketball player Lebron James makes approximately 76% of free throws. If he plays in a game in…

A: Binomial Distribution for calculating the probability is chosen when we have a success and a…

Q: Example A Kylee has a coin and a number cube. She flips the coin once and rolls the number cube…

A: Let us denote: H=head, T=tail So the possible outcomes are (H, 1), (H, 2), (H, 3), (H, 4), (H, 5),…

Q: You roll a number cube. What is the probability that you roll a 2 or 3?

A: There are total 6 possible outcomes when a number cube is rolled. We can get 2 or 3 in 2 ways.

Q: You ask a friend to think of a number from 4 to 10. What is the probability that his number will be…

A: S= number from 4 to 10 = {4,5,6,7,8,9,10} A = number will be a multiple of three = {6,9}

Q: A couple plans to have three children. What is the probability that a) they have all girls? b) they…

A:

Q: You roll a fair die. What is the probability of

A:

Q: An expert target sharpshooter misses a target 5% of the time. Find the probability that she will…

A: Given : P (expert misses a target) = p = 0.05

Q: dally. (a) Approximate the probability that more than 10500 commuters will use the light rail daily.

A: Here use normal approximation

Q: A couple plans to have three children. What is the probability that a) they have all boys? b) they…

A: The probability of a children born being a boy is:  12 The probability of a children born being a…

Q: We roll a pair of dice three times. Find the probability that a total of five is rolled each time.

A: If we roll a pair of dice one time then the possible outcomes of gettingsum as 5…

Q: An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that…

A: When we rolled pair dice one green and one red  X : outcome on the green die Y : outcome on the Red…

Q: A school fair offers a game with a winning probability of 0.1. Winning the game has a $10 prize.…

A: Probability of winning (p) = 0.1 Probability of losing (q) = 0.9 Let the game cost = x

Q: Example 3: Ryan lives in a city where there is a 30% chance of rain every single day of the year…

A: Each days are independent to get rain or no rain. (a) So, P[rain both days]=P[rain on day 1]×P[rain…

Q: A diabetes test is positive 85% of the time when the patient has diabetes and negative 95% of the…

A: Given data:- Diabetes test is positive 85% of the time when the patient has diabetes  diabetes test…

Q: : E1 occurs and E2 occurs, find probability of E3

A: here given  When Rolling Die  E1 = event that outcome is 1,2,3 or 4 E2 = event that even number…

Q: Two events are considered if the occurrence of one is related to the probability of the occurrence…

A: Solution Two events are considered dependent if the occurrence of one is related to the probability…

Q: Yahtzee! Find the probability of getting a 5 of a kind when rolling five dice.

A: Given information- We have given five dice. We have to find the probability of getting a 5 of a…

Q: Explain how to find the probability of an event not occurring. Give an example.

A: We know that for any event, PEvent Occurring+PEvent Not Occurring=1 So PEvent Not Occurring=1-PEvent…

Q: you roll a six-sided die.what is the probability that it is an even number or less than five

A: When a six-sided die is rolled the sample space is S={1,2,3,4,5,6} n(S)=6 P(even number or less than…

Q: A coin is tossed and a die is rolled. Find the probability of  a. landing on a head side of the…

A: Solution : Given : A coin is tossed and a die is rolled. Tossing a coin and rolling a die both are…

Q: A baseball player has a lifetime batting average of 0.213. If, in a season, this player has 365 "at…

A:

Q: simultaneously switched on September 25, 2021. What is the probability that 5 are still lighted on…

A: here given , Nine lamps run on batteries whose average life is 2 months. With new batteries, they…

Q: Martin flips a fair coin.what is the probability that the coin will land on heads?

A: When a fair coin is tossed the probability of getting heads or tails is 1/2.

Q: Example 5: If a bank received on the average 6 bad cheques per day, find the probability that it…

A:

Q: three games, the probability that Wendy wins at least two games is:

A: here jack and wendy and jack play game in which they both toss a die once

Q: Example 6: If you roll a die 3 times, what is the probability that: a) you roll 3 5's b) a triple?…

A: Probability is a mathematical tool used to study randomness. It deals with the chance of an event…

Q: The picture hows a family that has had nine girls in a row. Find the probability of this occurrence.

A: Given: Number of girls in a family = 9 Assuming that no other child is born other than 9. Also,…

Q: In what situations we can use probability in real life?

A: In real life, we can use probability for weather forecasting. We can gather data from the previous…

Q: Example 17: A fair die is tossed twice. Find the probability of getting a 4,5 or 6 on the first toss…

A: Sample space

Q: You roll a TWELVE sided die. What is the probability that the value of the roll will be two?

A: When a 12 sided die is rolled then there are 12 possible outcomes. [any number from 1-12] If the…

Q: While sitting on a park bench, Tanisha counts that 16 out of 20 people who walk by her have a pet…

A: Given Data: The number of walk by her is: n=20 The number of people who has a pet is: a=16 Part A:…

Q: you deal a hand of five cards from a regular deck of playing cards. find the probability of dealing…

A: In a standard deck of cards, there is a total of 52 cards. There are four suits: Spades, Diamonds,…

Q: In a school. if 14% of students take statistics and computer classes, if 67% take statistics class.…

A: Given Information: 14% of students take statistics and computer classes. 67% take statistics class.…

Q: The probability that the Cubs win their first game is. The probability that the Cubs win their…

A:

Q: 2 The probability that an event will happen is . What is the probability that the event will not…

A: We need to find probability.

Q: you roll a six-sides die.what is the probability that it is an even number or less than five.round…

A: Given that, You roll a six sided die. We are asked to find the probability that it is an even number…

Q: Example A Kylee has a coin and a number cube. She flips the coin once anc rolls the number cube…

A: The number of coin flipped is 1. The number of cube rolled is 1.

Q: A dice is thrown 5 times. Find the probability of getting a 4, a 5 and three other numbers.

A:

Q: During the summer in a particular city the probability of getting a thunderstorm in the afternoon is…

A: Here from the given information, Let,    P = Getting a thunderstorm in the afternoon Then P( P ) =…

Q: 1.You play a game with your friend where your probability of winning is 5%. If you play the game 50…

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Q: Part b Part c: What is the probability that there will be at least two accidents on a given day?

A: Given: The distribution of numbe rof accidents daily is shown below Number of accidents (X) P (X…

Q: Example 2.3.26 The probability that a dealer will sell at least 20 televisions in a day is 0.45 and…

A:

Q: Example 8: A nationwide survey found that 72% of people in the United States like pizza. If 3 people…

A: Proportion of  pizza liked by US people= 72% This Implies that probability of pizza liked by US…

Q: Example 5.6.2 If 1 sxs 100, find the probability that x + (100/x) > 50.

A:

Q: weather forecaster knows from historical data that the daily probability of rain is 0.3 during…

A: Given that ; In April month (n) = 30 days  Dry days = 20 days  P = 0.3  By using the binomial…

Q: Example 2.3.3 What is the probability of scoring 10 in a single throw with 6 dice?

A:

Q: Statistics show that on the average, that there are 106 boys born for every 100 girls born.  What is…

A: Given that there are 106 boys born for every 100 girls born. This means there are 106 boys in…

Q: plades. If five of the blades in an assembly are dull, what is the probability that the assembly is…

A: Let , X has geometric distribution with parameter N=50 , M=5 , n=5 The probability mass function of…

Q: In world cup soccer the probability that a soccer team makes a penalty kick goal is about 72.5%. If…

A: