Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines. Assume that the vaccine is given to a group of 50 people from Jamaica, what is the probability that it is an effective in exactly 40 persons? Interpretation your result.

Q: the average accident on a certain road section is at 2.4 per day. what is the probability that there…

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Q: The CDC estimates that a non-infected person has a 10% chance of contracting mumps from an infected…

A: The random variable X follows geometric distribution with probability 0.10. The geometric…

Q: An insurance salesman sells on average 5 policies per day. What is the probability that he will sell…

A: Solution

Q: The incidence of occupational disease in an industry is such that the workmen have a 20% chance of…

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Q: An agent sells life insurance policies to five equally aged, healthy people. According to recent…

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Q: The average number of people who die in a month from a rare disease in a city is 4. What is the…

A: The average number of people who die in a month from a rare disease in a city is 4.

Q: Forty percent of the students at a local college belong to a club and 50% work part time. 5% of the…

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Q: March Madness Movies served 23 lemonades out of a total of 111 fountain drinks last weekend. Based…

A: Given that 23 lemonades are ordered out of a total of 111 fountain drinks. Therefore, Number of…

Q: In a communication channel, data is sent in 10-bit packets. The percentage of a bit sent with error…

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Q: If the probability that a vaccine you took will protect you from getting the flu is 0.932, what is…

A:

Q: A baseball player has a batting average of 0.4. What is the probability that he has exactly 1 hits…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: • The probability that a patient recovers from a delicate heart operation is 0.7. Of the next 120…

A: Given, n=120 p=0.7 Now, Since n×p=120×0.7=84>10n×1-p=120×1-0.7=36>10 Therefore, this satisfies…

Q: A single coin is tossed. What is the probability of tossing a head?

A: When a single coin is tossed then the possible outcomes are head and tail So total 2 outcomes And…

Q: A recent study of cardiovascular risk factors reports that 30% of adults meet the criteria for…

A: Here, n = 15 and p = 0.30.

Q: The probability that an athlete finishes a triathlon is 0.66. What is the probability that no less…

A: Introduction: Denote p̂ as the sample proportion of triathletes who will cross the finish line,…

Q: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

A: Given that the probability that South Florida will be hit by a major hurricane (category 4 or 5) in…

Q: An exam contains five " true or false" questions. What is the probability that a student guessing at…

A: If an experiment is performed with possible outcomes as either success or  failure and the…

Q: A computer shop has noted that they have an average of 8 customers per hour. What is the probability…

A: Given information Average of 8 customers per hour No of customer in two hour is given by

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.922 , what is…

A: The sum of probabilities of different cases of a scenario is always 1.Here after taking the vaccine,…

Q: what is the probability that a total of 25 minutes will have passed before the next bag is ready?

A: Here given In a production line, on average 4 bags are produced an hour.  So λ = 4 bags per hour…

Q: 3. A survey asked 500 Americans to rate their health. Of those surveyed, 270 rated their health as…

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Q: What is the probability that a survivor was a female or in the 2nd class?

A: According to the provided information, Total survival person = 450 Total Female person = 308 Total…

Q: Estimate the probability of the event. Of 1936 people who came into a blood bank to give blood,…

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Q: recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample…

A: We have given that  Sample size n = 10 Success of probability p= 0.70 X~binomial ( n , p )

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.016 , what is…

A: Given that, The probability that a vaccine you took will protect you from getting the flu is 0.016.…

Q: An automatic car washing machine can wash 8 cars per hour. If the customers arrive to wash their…

A: Given: μ=8 car per hour customers come to wash their cars every 10 minutes

Q: According to the spanish Ministry of Health, the probability of a woman developing cancer over a…

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Q: The national center for health statistics has found that there is a 5.01% chance that an american…

A: There is 5.01% chance that an American citizen will die from an accident.

Q: A Particular study showed that 12% of Men will likely develop prostate cancer at some point in their…

A: Let C be the event representing that a man will likely develop prostate cancer . The probability…

Q: A pharmacist estimates that a chemotherapy drug produces a 75% improvement in lung cancer patients.…

A: Given Data Probability of success,p = 0.75 Probability of failure,q=(1- 0.75 )= 0.25…

Q: The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single…

A: Given that a probability that South Florida will be hit by a major hurricane in any year is 1/16. We…

Q: The probability of finding a gold card is 0.03. What is the probability that 1 out of 10 randomly…

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Q: For a recent year, the Centers for Disease Control reported that the probability that a 50-yr-old…

A: Recall the following fact.

Q: Breast cancer occurs in 2% of all American women. Mammograms used to detect breast cancer typically…

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Q: On average there are 3 typing errors per page of text. What is the probability that on any given…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: If a successful student is noticed what is the probability that he was a student of Arts, Science or…

A: here define events Arts  = A Science = S Commerce  = C passed in examination = E   p(A ) = 0.40…

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 9 seeds are planted,…

A: Binomial probability

Q: According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with…

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Q: A die is rolled twice. What is the probability of getting 3 or 5?

A: From the given information, a dice rolled twice.   The total sample space is,

Q: In a factory, there were 36 accidents involving machinery in the last six months. (a) Calculate…

A: Let X be the random variable of number of accidents involving machinery in the six months X~ Poi(36)…

Q: A construction company wants to understand how important safety helmets are on their worksite. They…

A: Define the events, A : The worker wear safety helmet B : The worker report head injuries Now, 73% of…

Q: If the probability that a vaccine you took will protect you from getting the flu is 0.962, what is…

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Q: Estimate the probability that a randomly selected household from this area will be a student. Which…

A: According to the classical definition of probability, the probability of an event is defined by the…

Q: A psychiatrist believes that 80% of all people who visit doctors have psychosomatic problems. She…

A: Let p be the probability that a person who visits doctors has psychosomatic problem. Given that p =…

Q: The average number of people waiting in the line at a bank muscat ATM is one person every 30…

A: Given that there is 1 person on an average every 30 minutes. So there will be 2 persons on an…

Q: It is estimated that​ 20% of luxury cars manufactured in 2012 were silver. A car dealership…

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Q: The number of vehicles that a car rental company rents daily is 5. According to this; a)What is the…

A: Given: Number of vehicles hired daily is, N=5. The objective is, To find the probability of…

Q: cording to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with…

A: Given data,  the percentage of boys who are diagnosed with autism by the age of 8 is 2.7%.…

Q: Describe the weights of the top 10% of the babies born within each gestation period. a.  42 weeks…

A: Introduction: Denote the random variable, Denote X as the birth weight of a randomly selected baby…

Q: Suppose that the probability of a plane arriving on time is 80%. Out of ten flights, what is the…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.