Each day John performs the following experiment: he flips a coin repeatedly until he gets tails and counts the number of coin flips needed. (a) Approximate the probability that in a year there are at least 3 days when he needed more than 10 coin flips. (b) Approximate the probability that in a year there are more than 50 days when he needed exactly 3 coin flips.

Each day John performs the following experiment: he flips a coin repeatedly until he gets tails and counts the number of coin flips needed. (a) Approximate the probability that in a year there are at least 3 days when he needed more than 10 coin flips. (b) Approximate the probability that in a year there are more than 50 days when he needed exactly 3 coin flips.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: ou are waiting in line at Dunkin. There are three people in front of you. The time it takes a person…

Q: Of the 12 times a bird lands in a tree, he chooses a red maple 4 times. Find the empirical…

A: Given that of the 12 times a bird lands in a tree, he chooses a red maple 4 times. We have to find…

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

Q: A company that advertises on the radio in a certain area receives on average 11 calls everytime it…

A: Formula : poisson distribution is given by

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: A math professor finds that when she schedules an office hour for student help, an average of 2.3…

A: Step 1:The probability mass function of the poisson distribution is given by…

Q: n average cleo catches a fish on 45% of the times that he casts his fishing line. If he casts his…

A: Given data, Proportion of cleo catches a fish is p=45% =0.45 n=15 what is the probability that he…

Q: A pharmacist receives a shipment of 2121 bottles of a drug and has 44 of the bottles tested. If 66…

A: From the provided information, A pharmacist receives a shipment of 21 bottles of a drug and has 4 of…

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: 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 drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: The average number of loaves of bread put on a shelf in a bakery in a half-hour period is 12. Of…

A: Given dataThe average number of loaves of bread put on a shelf in a bakery in a half-hour period is…

Q: Suppose that 60% of all California motorists are insured. Find the probability that more than 55%…

A: given data P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: A fast-food restaurant gets an average of 3 orders per minute during the lunch rush. What is the…

A: A fast-food restaurant gets an average of 3 orders per minute during the lunch rush.i.e =3 per…

Q: The average number of field mice per acre in a 7-acre wheat field is estimated to be 13. (a) Find…

A: To find, a) Find the probability that fewer than 10 field ice are fouund on a given acre. b) Find…

Q: The probability of a tornado in your home county in any one year is 0.073. What is the probability…

A: Answer:- Given, The probability of a tornado in your home county in any one year is 0.073. That is,…

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: Chase buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 4 sugar…

A: Here are 9 chocolate chip cookies, 7 peanut butter cookies, 4 sugar butter cookies and 9 oatmeal…

Q: Compton Computers finds that the time to failure of its power supply unit is 4000hours. One unit…

A: Mean time between failures =MTBF = 1λ= 4000 hours where λ represents the failure rate Time to…

Q: Fans enter a sports stadium at a rate of 70 people every 10 minutes. We would like to determine the…

A: Fans enter a sports stadium at a rate of 70 people every 10 minutes For 15 minutes , the rate =105

Q: (b)Find the probability that exactly 8 of the flights were on time. The probability that…

A: In the original question it is given that , At Denver International Airport, 81% of recent flights…

Q: he probability of a person dying quickly given that he or she ate flesh from a Mad Cow is 85%…

A: P(Dying | Mad Cow) = 0.85 P(Mad cow)=0.12

Q: Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an…

A: The objective of this question is to calculate the probability that the next chew Oliver removes…

Question

Each day John performs the following experiment: he flips a coin repeatedly until he gets tails and counts the number of coin flips needed.

(a) Approximate the probability that in a year there are at least 3 days when he needed more than 10 coin flips.

(b) Approximate the probability that in a year there are more than 50 days when he needed exactly 3 coin flips.

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduce the given information

VIEW

Step 2: Calculate the probabilities

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 13 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that more than 4 students will have their automobiles stolen during the current semester? Round your answer to four decimal places.
A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of the 20 bottles are contaminated, what is the probability that more than 1 of the tested bottles is contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.
Find the probability that either event A or B occurs if the chance of A occurring is 0.5,the chances of B occurring is 0.3, and events A and B are independent.
Connor is an oncologist with 7 patients in their care. The probability that a patient will survive 5 years after being diagnosed with stage 2 pancreatic cancer is 0.34. What is the probability that 7 of the patients are still alive after 5 years?
A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?
For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 7 or greater than 11.
Frank noticed that his mother will serve salad with dinner 78% of the nights, will serve potatoes with dinner 30% of the nights and will serve both 14% of the nights. The probability, to the nearest hundredth, that Frank's mother will serve salad or potatoes is
Suppose that you repeatedly roll a pair of fair dice and keep track of the sum. What is the probability that you see a sum of 7 before you see an even sum 3 times? (In particular, you keep track of how many evens you roll, and you want the probability that you roll a 7 before you get to 3 evens.
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.