Problem 4. A geologist has collected 10 specimens of basaltic rock and 10 specimens of granite. The geologist instructs a laboratory assistant to randomly select 15 of the specimens for analysis. (1) What is the pmf of the number of granite specimens selected for analysis? (2) What is the probability that the number of granite specimens selected for analysis is greater than 7?

Q: Suppose a large shipment of stereos contained 11% defectives. If a sample of size 311 is selected,…

A: Solution: From the given information, p=0.11 and n=311.

Q: If the odds of winning on a scratch-off lottery ticket are 8:1,103, what is the probability of…

A: Let A be the event of getting winning on a scratch-off lottery ticket Odd against ratio=8:1103

Q: The probability of randomly selecting a red marble from a jar that contains 10 red marbles and 20…

A: From the given information,A jar contains 10 red marbles and 20 blue marbles. Total number of…

Q: In a batch of 1960 calculators, there are, on average, 10 defective ones. If a random sample of 147…

A: We have given that,  Let X be the number of defective units from binomial distribution and sample…

Q: The probability of a resident of a certain city being the victim of a serious crime at some point in…

A: It is an important part of statistics. It is widely used.

Q: One of the random samples of 6 people has a sample mean of 78 kg. Does this surprise you? Provide…

A: Given that Sample size (n)=6 Population mean =70 One of the random samples of 6 people has a sample…

Q: The results of an investigation by an expert on a fire accident are summarised below: (i) The…

A: Given: Probability that there would have been a short circuit =0.8Probability of LPG explosion in a…

Q: The probability is 1% that an electrical connector that is kept dry fails during the warranty period…

A: Given: A probability of connector that fails while it is dry, P(FD)=0.01 A probability of connector…

Q: There's a rare disease that occurs in 1% of the population. There's a test that yields positive…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: Out of 22 students in my daughter's 1st grade class, 15 got Problem 1 right and 18 got Problem 2…

A: There are totally 22 students in my daughter's 1st grade class, 15 got Problem 1 right and 18 got…

Q: An experiment consists of rolling a weighted die. The probability of rolling each number is:…

A: Given information: The probability of rolling each number is: P[1] = 0.15, P[2] = 0.2, P[3] = 0.15,…

Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: Suppose that a policeman with a radar gun is watching traffic pass on a street where it is the case…

A:

Q: The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the…

A: Given information, ft=13-t18, 0≤t≤6 Consider, Et=∫06tftdt       =∫06t*13-t18dt…

Q: Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds…

A: It is given that p = 0.05 and n =300.

Q: A population proportion is 0.5. Suppose a random sample of 658 items is sampled randomly from this…

A: Given that : Population proportion =0.5 Random Sample =658

Q: In an original group, the probability of choosing a girl from that group was 1/3 When 1more girl…

A: Consider a number of boys are x and the number of girls are y and solve it by using given…

Q: e average incidence is 2 per million people. What is the probability that a city of 1 million people…

A: By using Poisson distribution:

Q: If the probability of surviving a​ head-on car accident at 55 mph is 0.052​, then what is the…

A: Topic = Probability

Q: The data in the following table show the association between cigar smoking and death from cancer for…

A: Given is a table showing the association between cigar smoking and death from cancer for 136,775…

Q: (b) A statistical report showed a mean of 35.4 motor vehicle deaths each year in a city. (i) Find…

A:

Q: 2 The probability of Inspector #1 on a production line finding a defective item is 0.8 and of…

A: Let, A = eventof defective item on a production line E1 = Inspector #1 E2 = Inspector #2 Then, we…

Q: Consider the case where the predetermined average number of bus arrivals at cubao station is 6 per…

A: The pre determined average number of bus arrivals at cubao station is 6 per 15 minute period.

Q: The data in the following table show the association between cigar smoking and death from cancer for…

A: The contingency table is given as,   Died from cancer Did Not Die from Cancer Row Total…

Q: Suppose there is a disease, whose average incidence is 1 per million people. What is the probability…

A: Given Suppose there is a disease, whose average incidence is 1 per million people.

Q: Suppose 58% of the registered voters in a country are Republican. If a sample of 570 voters is…

A: As given,  58% of the registered voters in a country are Republican. This implies  P = population…

Q: You are performing a cohort study. (i) If the probability of developing the disease in the exposed…

A:

Q: The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a…

A: It is given that probability of passing the bar exam in a certain state is 2/3. Therefore, the…

Q: The probability of a dry summer is equal to 0.3, the probability of a wet summer is equal to 0.2,…

A: Given that the climatologist observes the precipitation during 3 consecutive years. So he can get 2…

Q: Q1. It is reported that the percentage of people in a snall village that have health insurance is…

A: We have given that  Number of trials n=17 Success of probability p =0.80 Failure of probability…

Q: Mr. Siozios finds that the empirical probability of a student failing statistics is 30%. There are…

A: Given that, Empirical probability of a student failing statistics is 30%. Sample size = 10

Q: A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this…

A: Given data :  Mean p = 0.58 n = 658 SD = o = √ p(1-p)/n            = √0.58(1-0.58)/658           =…

Q: The data in the following table show the association between cigar smoking and death from cancer for…

A: Given data is   Died from cancer Did Not Die from cancer Total Never smoked cigars 805 118334…

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.