If we flipped a coin 100 times, we expect “heads” to come up about 50 times if the coin is “fair”. In a study of probability, it can be shown that the number of heads hthat appears in such an experiment must satisfy the given inequality,|h-50/5|<1.645 , to be considered “fair”. (a) Solve this inequality for h.(b) If you flipped a coin 100 times and obtained 40 heads, is the coin “fair”.

If we flipped a coin 100 times, we expect “heads” to come up about 50 times if the coin is “fair”. In a study of probability, it can be shown that the number of heads hthat appears in such an experiment must satisfy the given inequality,|h-50/5|<1.645 , to be considered “fair”. (a) Solve this inequality for h.(b) If you flipped a coin 100 times and obtained 40 heads, is the coin “fair”.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

See similar textbooks

Similar questions

If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)
(a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p. The experiment is performed n times. What of probability is with this experiment? (b) What is the probability that success occurs exactly r times? (c) An archer has probability 0.6 Of hitting the target. find the probability that she hits the target exactly 3 times in 5 attempts-
there is a box with 3 numbers: {1,2, 3}. You are allowed to draw 2 numbers from this box, and if the sum is odd, then you get 1 point. If it is even, you lose one point. With this in mind, Is it better to draw with or without replacement to maximize your probability of winning? from the same question, also provide a generalized explanation/ formula if the box has { 1,2 ... n} numbers.
Suppose there are n independent trials of an experiment with kgreater than>3 mutually exclusive outcomes, where pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this situation? Choose the correct answer below. A. The expected counts for each possible outcome are given by Eiequals=StartFraction n Over p Subscript i EndFractionnpi. B. The expected counts for each possible outcome are given by Eiequals=pi. C. The expected counts for each possible outcome are given by Eiequals=n. D. The expected counts for each possible outcome are given by Eiequals=npi. Click to select your answer.
Please Solve Subdivision d),e) and f) onlyA salesperson goes door-to-door in a residential area to demonstrate the useof a new household appliance to potential customers. At the end of a demonstration,the probability that the potential customer would place an order for the product is aconstant 0.2107. To perform satisfactorily on the job, the salesperson needs at leastfour orders. Assume that each demonstration is a Bernoulli trial. a) If the salesperson makes 15 demonstrations, what is the probability thatthere would be exactly 4 orders? b) If the salesperson makes 16 demonstrations, what is the probability thatthere would be at most 4 orders? c) If the salesperson makes 17 demonstrations, what is the probability thatthere would be at least 4 orders? d) If the salesperson makes 18 demonstrations, what is the probability thatthere would be anywhere from 4 to 8 (both inclusive) orders? e) If the salesperson wants to be at least 90% confident of getting at least4 orders, at least how…
It is a common belief that the population mean body temperature is 98.6◦F. A random sample of 106 healthy adults have a mean body temperature of x = 98.20◦F and s = 0.62◦F. (a) Write the null hypothesis and alternative hypothesis using the proper notation symbols and the correct inequality <, ̸=, or > symbols. (b) Use technology to find the p-value. (c) Is the p-value smaller than 0.05? (d) Do the data reject the null hypothesis or fail to reject the null hypothesis? (e) Is there sufficient evidence to warrant rejection or support the original claim?
b. Use the fact that the total probability is equal to 1 to create a formulafor P(X = 3) in terms of P(X = 4).
In a reaction time experiment, participants are asked to press a button as soon as they seea light come on. Is reaction to a red light faster than a green light? 20 volunteers werefirst given a test to a white light. 10 pairs of subjects were made such that each pair hadequal or nearly equal reaction times to the white light. One volunteer in each pair wasthen tested with the red light, the other with the green light. Reaction times are presentedbelowPair Red Green1 208 2052 206 2073 213 2084 210 2115 212 2096 210 2107 211 2128 198 2019 202 20510 204 200Conduct a 6-step hypothesis test to answer the question whether reaction to the red lightis faster than the green light and please solve in excel
The acceptable level for insect filth in a certain food item is 44 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 6060 ten-gram portions of the food item is obtained and results in a sample mean of x overbarxequals=4.54.5 insect fragments per ten-gram portion. Complete parts (a) through (c) below.
for part a) i have the probability is P(X<10.5)=0.6915. which is from the z table as well. am i doing something wrong in order to get this first value?
A consumer is given the chance to buy a baseball card for $1, but hedeclines the trade. If the consumer is now given the baseball card, willhe be willing to sell it for $1? Standard consumer theory suggests yes, butbehavioral economists have found that “ownership” tends to increase thevalue of goods to consumers. That is, the consumer may hold out for someamount more than $1 (for example, $1.20) when selling the card, eventhough he was willing to pay only some amount less than $1 (for example,$0.88) when buying it. Behavioral economists call this phenomenon the“endowment effect.” John List investigated the endowment effect in a randomized experiment involving sports memorabilia traders at a sports-card show. Traders were randomly given one of two sports collectibles, say good A or good B, that had approximately equal market value.1 Those receiving good A were then given the option of trading good A for good B with the experimenter; those receiving good B were given the option of…
The problem is "Twelve percent of the job applicants for a large company have recently smoked marijuana. The company gives all applicants a drug test. The test is not perfect. The test has a sensitivity of 98%- meaning that 98% of those who have recently smoked marijuana will test positive, the other 2% will test negative. The test has a specificity of 96%- meaning that if someone has not recently smoked marijuana, the test will correctly yield a negative test result 96% of the time." M = applicant has recently smoke marijuanaC= applicant has not recently smoked marijuana (clean)X = positive test (test indicates that the person has not recently smoked marijuana recently)N= negative test (test indicates that the person has not recently smoke marijuana) a. What proportion of those who test positive have not recently smoked marijuana? b. What proportion of those who pass the drug test really shouldn’t have?