Suppose it is known that 80% of the people exposed to the corona virus will contract COVID-19. Out of a family of five exposed to the virus, what is the probability tha: a) No one will contract COVID-19? b) All will contract COVID-19? c) At least two will get COVID-19?

Q: Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes,…

A: Givenp=0.45n=15x~Binomial(n=15,p=0.45)P(X=x)=(nx)×px×(1-p)n-x    ; x=0,1,...,n

Q: Assume that when adults with smartphones are randomly selected, 58% use them in meetings or classes,…

A:

Q: Q15. In a network of 35 computers, 4 have a copy of a particularly critical file to sustain an…

A: The computers are chosen without replacement, which means that the hypergeometric distribution is…

Q: Blocks of concrete are tested for conformance to strength specifications. The outcomes of the test…

A:

Q: *Take home exercise 1 (Example 7 in 3.4-3.6 lecture slides) As in many as one sickle cell anemia.…

A: The conditions for binomial distribution:Fixed number of trials.The trials are independent.There are…

Q: Three automobiles are selected at random, and each is categorized as having a diesel (S) or…

A: We can pick each car in two ways. So, we will have total (2*2*2)=8 outcomes

Q: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During…

A: Mutation arises spontaneously on each of the X chromosomes of the parents, independently and with…

Q: A box contains 50 marbles, x (x > 1) of them are white and the rest are all black. Two of the 50…

A: Steps

Q: A sample of 5 light bulbs is drawn from a large collection (large enough to be considered…

A:

Q: The probability that a specific band of water heater produces the water temperature is set to…

A:

Q: Suppose 9% of the residents in a lockdown building have the COVID-19 disease. There is a diagnostic…

A: Let D - disease P(D) = 9% =0.09 P(D') = 1-0.09 = 0.91 P(+|D) = 0.8 P(+|D') = 0.25 We need to find…

Q: Assume that different groups of couples use a particular method of gender selection and each couple…

A: Given,Total number of couples, n = 50Probability of a girl is, p = 0.5Using formula,Mean, μ =…

Q: Q15. In a network of 40 computers, 4 have a copy of a particularly critical file to sustain an…

A:

Q: Identical ICs are tested for transistor failure, and it is found that the average failure is 3.4…

A:

Q: Suppose a COVID-19 is 85% sensitive and 82% specific. That is, the test will produce 85% true…

A: Let us define some events A : a person has the virus. B : a person does not have the virus. E : a…

Q: An experiment consists of randomly selecting one of three coins, tossing it, and observing the…

A: a.   Consider that events A, B, and C denotes the selection of to headed coin, biased coin and fair…

Q: 1.4.5. A hand of 13 cards is to be dealt at random and without replacement from an ordinary deck of…

A: Let A represents the event that are at least 3 kings in hand, and B represents the event there are 2…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.