rare genetic disease is known to be carried by 30 people among 10000 people in the society. a) In a random sample of 1000 people, calculate the probability that less than 6 carry the disease? (Please solve this section with Binomial distribution) a) In a random sample of 2000 people, calculate the probability that more than 4 carry the disease? (Please solve this section with Poisson distribution) c) If people are randomly tested for the disease, what is the probability that the first person who is found to carry the disease is the 3rd person?

Q: Suppose 34% of cubes processed by a machine have side lengths less than 100mm. A random sample of 60…

A: Solution: From the given information, the probability of a cube processed by a machine has side…

Q: at random for analysis, what is the probability that the traveler will be arrested for illegal…

A: To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin…

Q: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

A: Suppose three fair coins are tossed and the number of heads that appear is recorded.Since the coins…

Q: A poll is given, showing 20% are in favor of a new building project. If 10 people are chosen at…

A: Given data, p=20%=0.20 n=10 P(X=5)=?

Q: 4) If a baseball player has a batting average of 0.5, what is the probability that the player will…

A: Given data: Batting average=0.5

Q: According to data from EKU, 85.14% of all EKU students were undergraduates in  Fall 2017. Suppose…

A: The sample size is 200 and the population proportion is 0.8514.

Q: A fair die is rolled 12 times. What is the probability of rolling a 4 on the die 4 times?

A: A binomial probability distribution has following properties. There are only 2 possible outcomes of…

Q: A single fair die is rolled 10 times. Find the probability distribution of the random variable…

A:

Q: fair die is rolled 5 times    16. What is the probability of obtaining a 2 at least once?

A:

Q: The probability that a randomly selected 40-year old female will live to be 41year old is 0.988…

A: Let p denote that the probability that a randomly selected 40-year old female will live to be 41…

Q: It has been determined that 5% of drivers checked at a toad stop show traces of acohol and 10% of…

A:

Q: 5. A traveler wanted to avoid detection at customs. He placed 6 narcotic tablets together with 9…

A:

Q: It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of…

A:

Q: 4. Two standard 6 sided dice were rolled 68 times. What is the probability of getting a sum greater…

A: Step 1:We're dealing with a binomial probability distribution here.n = number of trials = 68 (number…

Q: A recent study suggested that 70% of all eligible voters will vote in the next presidential…

A: Given Information: 70% of all eligible voters will vote in the next presidential election i.e., p =…

Q: Suppose you flip a fair coin 10 times. What is the probability of getting at least 8 heads? How does…

A: Answer:- Given, A fair coin flip 20 times.  Then , probability of getting a head , P(H) =…

Q: HIV and tuberculosis (Tb) are two diseases that can occur together. Suppose in a study population…

A: P(HIV) = 0.15 P(Tb) = 0.25 P(HIV and Tb) = 0.07

Q: can you calulate the experimental probability for 15, 50, and 100 coin flips

A: The experimental probability is calculated by actually repeating an experiment given number of times…

Q: Suppose two dice are rolled 3000 times and the sum of 11 occurs 120 times. What is the empirical…

A: Let A be the event such that sum on the dice is 11 Here we will use the formula Empirical…

Q: According to U.S. Department of Transportation report, 8% of all the registered cars fail the…

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

Q: It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of…

A:

Q: 7. Suppose 38% of all State U students do not support a mask mandate. In a random sample of 28 State…

A: a) To find the probability that the first student who does not support a mask mandate is selected…

Q: traveler wanted to avoid detection at customs. He placed 5 narcotic tablets together with 9 vitamin…

A:

Q: What distribution does this problem follow? (Geometric, Binomial, Poission?)  2) Determine the…

A:

Q: In a factory, in a batch of 100 products, there are on average 5 of defected ones. Please calculate…

A: In the batch of 100 products there are on an average 5 are defective. Hence probability that a…

Q: What is the probability of winning a 4​/24 lottery game where 4 numbers are picked from a range of…

A: We have to find the probability of winning a 4​/24 lottery game where 4 numbers are picked from a…

Q: Suppose one card is drawn randomly from a standard deck of 52 cards. What is the…

A: Answer: From the given data, Total number of cards in a standard deck = 52 number of ace in a deck =…

Q: Using the binomial probability function, what is the probability that the sample contains exactly 3…

A: Probability of male and female students in New york University is 64% and 36%  X be the number of…

Q: 23. A certain virus has infected 5% of the population. There is a test to determine if someone is…

A: A certain virus has infected 5% of the population. If a test is conducted to determine whether the…

Q: The risk of a hematoma among alcoholics without cirrhosis of the liver is 24%. Suppose we observe 7…

A:

Q: 5. The recovery rate for a disease is 0.4. In the study conducted on 200 randomly selected patients…

A:

Q: 8. A recent study finds that 40% of all professors found their job extremely stressful. Suppose 12…

A:

Q: . The recovery rate for a disease is 0.4. In the study conducted on 30 randomly selected patients…

A:

Q: According to a college registrar's office 40% of the students enrolled in an introductory statistics…

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.