A coin with Heads probability p is tossed repeatedly. What is the expected number of tosses needed to get k successive heads?

Q: Based on a​ survey, assume that 33​% of consumers are comfortable having drones deliver their…

A: Given data, p=33%=0.33 q=1-p=1-0.33=0.67 n=5 P(X=2)=?

Q: Based on a​ survey, assume that 26​%of consumers are comfortable having drones deliver their…

A: From the given information,26% of consumers comfortable having drones deliver their purchases.That…

Q: Based on a​ survey, assume that 27 ​% of consumers are comfortable having drones deliver their…

A: Solution Let,

Q: A company has 10 delivery trucks, 6 of which are due in for an inspection. Suppose 3 of these 10…

A: Introduction: Suppose X is the number of selected trucks that are due for inspection. It can be…

Q: An experiment consists of flipping a weighted coin with Pr H = .6. The experiment ends when either…

A: Atnost twice means maximum 2 times   So if coun is gassed for 1st time and success then it is {T} If…

Q: Suppose we toss n balls into n bins one at a time uniformly at random. (a) What is the expected…

A:

Q: 1. Find the expected number of heads when three Coins are tossed based on the probability…

A: Given that  Three coin are tossed based on probability distribution.  Sample space. 0 , 1 , 2 , 3…

Q: a) What is the probability that the dart lands in the sector labeled 20 a total of 5 times? b) What…

A: Given : A Dart board containing 20 equally-sized sectors numbered 1 to 20 The probability of a dart…

Q: express the indicated degree of likelihood as a probability value between 0 and 1. 18. Dice When…

A: Given problem is : express the indicated degree of likelihood as a probability value between 0 and…

Q: A manufacturing firm produces a product that has a ceramic coating. The coating is baked on to the​…

A: Given: Proportion of defective items (p)= 0.09 Number of products (n) = 25

Q: Suppose, a telephone exchange becomes very busy at a certain time of the day which is known as a…

A: Given,p=0.07q=1-pq=1-0.07=0.93A random variable X~Geometri distribution(p=0.07)P(X=x)=0.070.93x-1…

Q: A game is played using one fair 6-sided die. If the die is rolled and shows 2, the player wins…

A:

Q: In a lottery game, a player picks six numbers from 1 to 30. If the player matches all six numbers,…

A:

Q: In a lottery game, a player picks six numbers from 1 to 26. If the player matches all six numbers,…

A:

Q: A game is played using one fair 6-sided die. If the die is rolled and shows 1, the player wins…

A: A game is played using one fair 6-sided die. when a die is rolled and shows 1, the player wins $8.00…

Q: It is impossible to get 10 kings when selecting cards from a shuffled deck. Express the indicated…

A: For any event A, with sample space S, the probability can be found by the formula,

Q: A card is drawn one at a time from a well-shuffled deck of 52 cards. In 11 repetitions of this…

A: The event E is considered to have occurred if a king comes up in any of the 11 trials of the…

Q: In a lottery game, a player picks six numbers from 1 to 29. If the player matches all six numbers,…

A: From the provided information, A player picks 6 number from 1 to 29. If the player matched all 6…

Q: Consider an experiment with n possible outcomes and the probability law for this experiment is…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.

A: Probability is the chance of occurrence of an event. A fair coin is tossed 5 times. For each toss,…

Q: in a certain weather forecast the chances of thunderstorm is stated as 18%. express the indicated…

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The…

Q: The probability that a certain machine turns out a defective item is 5%. Find the probability that…

A: The probability that the item is defective is 0.05. Sample size = n = 75.

Q: You roll a fair six sided die thirty times. What is the expected number of times the die lands on 2?

A: Roll a fair six sided die thirty times.

Q: d) What is the expected number of AAI members having the shares?

A: It is given that n =4 and p=0.25.

Q: At a very large university, 70% of students that apply are accepted. Suppose 18 applicants are…

A:

Q: % of adults 10 random selections what is the probability of exactly two making a purchase? More…

A: Here it is given that- Total number of samples (n) = 10 Sample proportion (p) = 38100=0.38 As n and…

Q: A study of attrition rates at a company showed that 43% of all incoming employees leave the company…

A: Given that,43% of all incoming employees leave the company within 4 years.p=0.43no.of  empoyees…

Q: A game is played using one fair 6-sided die. If the die is rolled and shows 1, the player wins…

A:

Q: A skewed coin flips heads 0.65 of the time. What is the expected number of heads when flipping the…

A: Given that, A skewed coin flips heads 0.65 of the time. Probability, p = 0.65 Sample size, n = 10

Q: 5. Sixty percent of the consumers' population is reputed to prefer a particular brand A of…

A: We have to use geometric distribution for finding the probabilities.

Q: In a lottery game, a player picks six numbers from 1 to 23. If the player matches all six numbers,…

A:

Q: One coin is fair and one is weighted so that Pr[H]=1/7. You randomly select one of the two coins,…

A: The probability of head for the fair coin is = 12 The probability of head for the weighted coin is =…

Q: One coin is fair and one is weighted so that Pr[H]= 1/10. You randomly select one of the two coins,…

A: From the given information, Consider,  F be the event that denotes the fair coin chosen. W be the…

Q: In a lottery game, a player picks six numbers from 1 to 22. If the player matches all six numbers,…

A: Here expected value is in lossing way it is in negative form  -0.3298

Q: Suppose we toss n balls into n bins one at a time uniformly at random.  a.) What is the expected…

A: a. There are n balls to be placed into n bins. Each ball has equal probability to be in the bins.…

Q: Each sample of oil has a 20% chance of containing sulfur. Suppose 20 samples are taken independently…

A: Given that,Each sample of oil has a 20% chance of containing sulfur.Sample size = 20

Q: Suppose we have a 12 sided fair die and we toss it 20 times. What is the expected value of the sum…

A: here die is 12 sided  so probability of roll each number  = 112 here no of toss  = 20

Q: One coin is fair and one is weighted so that Pr[H]=2/7. You randomly select one of the two coins,…

A: Consider the provided question, P(Selecting fair coin) = P(Selecting weighed coin) = 12P(Head |…

Q: A weighted die has probability 0.102 of landing on a 6. If you roll the die until you get a 6 for…

A: It is given that the probability of getting a 6 is 0.102.

Q: You flip an unfair coin with Pr[H]=0.2 three times. Find the expected number of heads flipped.

A: Given that the probability of getting head=p= 0.2 n=number of trials= 3   Each trial is independent…

Q: Based on a​ survey, assume that 27​% of consumers are comfortable having drones deliver their…

A: In the question.

Q: You are certain to get 3 jacks when selecting 51 cards from a shuffled deck. Express the indicated…

A: The event that is sure to happen definitely is called as certain event. The probability for certain…

Q: Based on a survey, assume that 48% of consumers are comfortable having drones deliver their…

A:

Q: 6. A coin with Heads probability p is tossed repeatedly. What is the expected number of tosses…

A: A coin with Heads probability p is tossed repeatedly. What is the expected number of tosses needed…

Q: Suppose a fair dice is tossed into the air 10 times.For the overlapping number; a)what is the…

A: Givena) The probability of rolling a six when a fair dice is rolled p=16The probability of not…

Q: An experiment consists of flipping a weighted coin with Pr[H]=0.6. The experiment ends when either…

A: Given, A was flipped at most two times. If coin is tossed 1st time and success then it is {T} If…

Q: Consider the experiment of tossing an unbiased coin twice. Find the probability of getting a tail in…

A: if a coin is tossed two times than the possible outcomes areHH , HT, TH , TT

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!