A coin is tossed three times. (a) What is the probability that the coin will land tails at least twice? (b) What is the probability that the coin will land tails on the second toss, given that tails were thrown on the first toss? (c) What is the probability that the coin will land heads on the third toss, given that tails were thrown on the first toss?

Q: One student is selected at random. What is the probability that the student is i. from IT? i.…

A: Note : According to our guidilnes we are solving only first three sub parts of a question and the…

Q: A drug manufacturer claims that a certain drug cures a blood disease, on the average, 80% of the…

A:

Q: What is the daily probability of an event that has occurred once in 3 years?

A: Given: An event that has occurred once in 3 years. The probability of the event occurring in a…

Q: What is the probability that both of the selected students received a grade of A

A: Given, Total students = 10 Students received an A on the last examination = 5 Let n be the total no.…

Q: Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets…

A:

Q: b) What is the probability that the company need to wait at most 3 days to receives an order over…

A: b) Let, X=the number of days to receive 1 orderGiven that on an average 8 orders are received in 5…

Q: A life insurance salesman sells on the average 10 life insurance policies per week. i) What is the…

A: i) The random variable X is defined as the number of policies sold. The variable X has Poisson…

Q: A fair coin is tossed until a head appears. What is the probability that more than three tosses are…

A: When a fair coin is tossed, The probability of getting head is 0.5 The probability of getting tails…

Q: 1. The probability of an event not occurring is 0.27. What is the probability of the event…

A:

Q: Bank tellers in a certain bank make errors in entering figures in their ledgers at a rate of 0.8…

A: Given,a rate of errors per page =0.8no.of errors per 5 pages(λ) = 5×0.8=4X=no.of errors per 5…

Q: fair coin is tossed four times, and at least one of the tosses results in heads. What is the…

A: Given: One fair coin is tossed 4 times which results the sample space (S) as follows:…

Q: A certain region of a country​ is, on​ average, hit by 8 hurricanes a year. ​(a) What is the…

A: Since it is given that the in a  certain region of a country​ is, on​ average, hit by 8 hurricanes a…

Q: What is the probability that in every two hours the nurses cannot accommodate the arriving patients?

A: As PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION

Q: (a) what is the probability that the time between accidents is less than 2 weeks? (b) what is the…

A: here given, λ = 0.3 and for poisson process p(x=n)=e-λt(λt)nn!and for exponential diatribution p(T ≤…

Q: A bank is interested in studying the number of people who use the ATM located outside its office…

A:

Q: Taxis arrive at Mall of Asia at the rate of 10 per hour a. What is the probability that exactly 5…

A:

Q: bank is interested in studying the number of people who use the ATM located outside its office late…

A: Given that

Q: A telephone call center receives a call at an average rate of six per hour. What is the probability…

A: Given that a telephone call center receives a call at an average rate of six per hour.  Let X=the…

Q: 2. The probability that a rifleman hitting the target is 40%. Suppose he fires 8 times, what is the…

A:

Q: A particularly long traffic light on your morning commute is green 20% of the time that you approach…

A:

Q: Suppose that a certain type of magnetic tape contains on the average three defects per 1000 feet.…

A:

Q: A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is…

A:

Q: a. What is the probability that the demand for gasoline in a given week is more than 500 gallons? b.…

A:

Q: Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for…

A: Given Information: An airline sells 125 tickets for a flight that holds only 120 passengers. The…

Q: According to a daily​ newspaper, the probability is about 0.73 that the favorite in a horse race…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Three students bring identical umbrellas to class and leave them in a pile by the door.  When they…

A: Consider X be a random variable which follows binomial distribution indicates the number of…

Q: What is the probability that the city will be hit by a tornado next year?

A: Studies show that historically a certain city is hit by a tornado about once every 5 years. so here…

Q: Researchers discover that 85% of people who have suffered a heart attack had periodontal disease (an…

A: P(heart attack )= 0.10∴P(no heart attack )= 1 - P(heart attack )…

Q: (a) What is the probability that the store sells at least one game on a randomly selected day? (b)…

A: Here given number of games sold at store open every day of week follows poisson distribution  And…

Q: A card is drawn at random from a standard deck. What is the probability that it is a face card?

A:

Q: Suppose it has been observed that an average of six vehicles passes by their house per minute on…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: The probability that a person has blood type A is 0.3. Two persons are selected at random. What is…

A: GivenThe probability that a person has blood type A is 0.3

Q: A fair coin is tossed 8 times. i). What is the probability that the eighth toss results in a head…

A: Following are the explanation of the question.

Q: (a) What is the probability of shortage of material in any day? Shortage occurs whenever the…

A:

Q: An instrument for testing contaminated particles experiences errors 4 times on average during a…

A: Given Data: Let X represent the number of errors during 4-hour session X~ Poi(4)   Let Y represent…

Q: In the Taiji scene, we learn that dolphins were killed at staggering proportions from 2000-2015. For…

A: Probability quantifies the chances of an event happening. The probability values always lie in the…

Q: What is the probability that it was the two-headed coin?

A: Let us define some events A : selected coin is two headed. B : selected coin is fair coin. C :…

Q: A certain region of a country is, on average, hit by 7.5 hurricanes a year. a) What is the…

A:

Q: Mamba. Suppose a resident is randomly selected from this small village, what is the probability that…

A:

Q: Suppose a rare infectious disease occurs at the rate of 2 per 106 people per year. (a)  What is…

A: It is given that the population in New York City is 8 x 106 and the probability of disease occur is…

Q: A fair sided coin lands on heads 150 times and on heads 120.what is the theoretical probability that…

A: Given,  A fair coin shows Head 150 times and Tail 120 times.

Q: 0% of the senior class is female. Of the females, 20% are school athletes. What is the probability…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: Takealot orders in a certain area can either be delivered by Takealot or picked up by the customer…

A: We have given that  n=6 , p=40%=0.40 , q=1-0.40=0.60 X~Binomial(n=6, p=0.40)

Q: dismissed 1010 employees in order to meet their new budget reductions. The town had 77 employees…

A: A town recently dismissed 10 employees in order to meet their new budget reductions. The town had 7…

Q: card id drawn at random from a standard deck of playing cards, What is the probability that it is…

A:

Q: i. What is the probability that a randomly selected subscription expiring at the end of the year was…

A: Here define events and draw probability tree  Here use Bayes rule and basic probability rule

Q: A particularly long traffic light on your morning commute is green 20% of the time that you approach…

A: p = 0.2 n = 5 The probability that the light is green on exactly one day is given by ​​​​​​​

Q: 2. A fair six-sided die is tossed twice. What is the probability that a five will

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

Q: A coin is tossed 3 times. What is the probability that the coin will land heads: A) atleast twice?…

A: Consider H represent the outcome of heads and T represents the outcome of tails. The total number of…

Q: 5. On average, there are 2 car thefts every 10 square kilometers during the course of a month in…

A: 5. a. The Poisson probability distribution of random variable X is, PX=x=e-λλxx!;         x=0,1,2,……

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.