9.An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is .2. (a) What is the probability that the third hole drilled is the first to yield a productive well? (b) If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well?

Q: Defects occur at random in planks of wood with an average of 0.5 per 10 cm length. Office building…

A:

Q: American Airlines' flights from Chicago to Seattle are on time 60 % of the time. Suppose 13 flights…

A: American Airlines' flights from Chicago to Seattle are on time 60 % of the time. That is, p=0.60…

Q: Q2. Suppose that 20 percent of the bottles produced in a certain plant are defective. A defective…

A: Given that: The probability that the bottle produced is defective, PD=0.20

Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

Q: Types UI would be involved in at least one collision during any one-year period. The results of the…

A: Given that a driver has been involved in at least one collision in the past year, the probability…

Q: Suppose that 92.0% of bolts and 87.0% of nails meet specifications. One bolt and one nail are chosen…

A: The objective of this question is to find the probability that neither a bolt nor a nail meets…

Q: American Airtines' flights from Denver to Atlanta are on time 90 % of the time. Suppose 14 flights…

A: Givenp=0.9n=14Let "x" be no.of on-timex~Binomial(n=14,p=0.9)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1...,n

Q: An assembly line, based on past production, has a 2% defective rate. A random sample of 800…

A: Given that n=800 p=0.02 q=1-p =1-0.02 =0.98

Q: 1. There are 10 coins in a box, where 2 coins are of Type A with the probability of getting a head…

A:

Q: Suppose a math class contains 44 students. There are 23 females (four of whom speak Spanish) and 21…

A:

Q: What is the probability that you will pass course b given that you park course a? 2. Is the paying…

A: Given information P(A and B)=0.276, P(A)=0.835, P(A U B)=0.981

Q: 2.4-8. A boiler has five relief valves. The probability that each opens properly is 0.97. (a) Find…

A: Givenn=5p=0.97Let "x" be the no.valves open properlyx~Binomial(n=5,p=0.97)P(X=x)=(nx)×px×(1-p)n-x…

Q: Consider a food stall offering “Biryani” and “Pulao” at a distant place in Karachi. Since people in…

A: Given data, the probability that a customer would order biryani is p=0.8

Q: In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 6…

A: Given that, In an M/MA queueing system, the arrival rate is 3 customers per hour and the service…

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: We have given that  8 possible out come in which exactly 1 boy.

Q: 6) The sensitivity of a medical test is defined as the probability that the test will be positive,…

A: Let ,  C = women has breast cancer  C¯ = women does not have breast cancer  P = Test positive  N =…

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 9 flights are…

A: Given : Delta Airlines flights from Boston to Seattle are on time 60% Let p : Proportion of flights…

Q: What is the probability that at least one of the three people has Alzheimer’s disease?   Suppose we…

A: Q1Step 1:The probability that at least one has alzhamir is the same as the complement probability,…

Q: The probability that a urine analyzer that is designed to analyze urine (urine) content will produce…

A: Given Information:  The probability that a urine analyzer that is designed to analyze urine (urine)…

Q: Q // 15% of the water from wells dug in the plain is not suitable for drinking, so if it becomes The…

A: Given :  Let X : No. of wells are not suitable for drinking n=10 p=0.15

Q: a penalty being assessed is 0.31. What is the probability that your tax return is audited but you do…

A: Here  Given  Probability of tax return being audited=P(A)=0.02 ProbabIlity of Penalty being assessed…

Q: 5. Events A and B are independent. Find the indicated Probability. P(A) = 0.5 P(B) =    P(A and…

A: P(A) = 0.5 P(A and B) = 0.2

Q: 5. With regards to a particular gene, the percentage of genotypes AA, Aa, and aa in a particular…

A:

Q: 3. Suppose your school is in the midst of a flu epidemic. The probability that a randomly-selected…

A: Given information Let event A denotes that the student has flu Event B denotes that the student is…

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: Given: Sample size (n) = 10 The probability that a machine has a lifespan of more than 5 years is…

Q: 5. When rolling a pair of dice, the chance of rolling doubles (both the same number) is 1/6. For…

A: Given: We are rolling a pair of dice. The chance of rolling doubles (both the same numbers) is given…

Q: 4. The chance that a chocolate randomly selected from a box of candy is a raspberry buttercream is…

A: It is given that  P( raspberry buttercream ) = 0.2 P( caramel chew ) = 0.1

Q: 7. What is the probability that they will clear exactly 4 hurdles? 3. What is the probability that…

A: Given Information: A player has to cross 10 hurdles in a hurdle race. The probability that he will…

Q: Jack is a randomly selected member of a large group in which 2% are drug users. Jack tests positive…

A: Let us define some events A : Jack uses drug. B : Jack does not use drug. E : Jack tests positive.…

Q: Suppose a math class contains 42 students. There are 22 females (two of whom speak Spanish) and 20…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: layer of a winning is 1/3. Given that the game is played i. The probability that the player has…

A: The game is played 6 times; n=6 The probability of winning is 13

Q: Q.It has been found that on an average the number of mistakes per typed page of a typist is 1.5.…

A:

Q: 6. Suppose you run an experiment where you repeatedly chuck a snail out into the road and observe…

A: From the given information,Probability of hitting a car P = 30% = 0.30Randomly selected chucking…

Q: American Airlines' flights from Boston to Atlanta are on time 70 % of the time. Suppose 13 flights…

A:

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.