A can solve 90 per cent of the problems given in a book and B can solve 70 per cent. What is the probability that at least one of them will solve a problem selected at random ? (b) In a single throw of two dice, what is the probability of obtaining a total of at least 10 ?

Q: Note: R is the last digit of the student registration number. (second last digit, if the last digit ...

A: Given Information:      Portfolio Value=$100Mean μ= 20%Variance σ2=10 Consider the last digit of the...

Q: Let {x €U x is a multiple of 2} B = {x EU x is a perfect square} C = {x € U A = € U В 3 x is a multi...

A:

Q: A key ring contains four office keys that are identical in appearance, but only one will open your o...

A: Let        S -denotes the sample elements in a sample space       H - denotes the hit(success)      ...

Q: Q6. Here, Man-City's record of last 6 games against the following opponents - Opponent Southampton C...

A: Given the Man-City's record of last 6 games against the following opponents as Opponent Stadiu...

Q: Find the expected value of g(X, Y) = XY2 . Find µx and µy.

A: The joint probability function of X and Y is described as Y.          X 2 4 P(Y = y) 1 0.10 0.1...

Q: 10. Determine the probability density function for the cumulative distribution function shown below....

A: Ans#-  Given cumulative distribution function             F(x) = 0,x<-20.25x+0.5-2≤x<10.5x+0.2...

Q: A coin is flipped 7 times in succession. In how many ways can at least four heads occur?

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:...

Q: Suppose a certain medical treatment is effective in 80% of the cases treated. Let Y der number of pa...

A:

Q: Ariatnam, Najafi and Morones ( Journal of Professional Issues in Engineering Education and  Practice...

A: The variable of interest is the mean hydrogen production rates per day. a) Mean hydrogen production ...

Q: There are 1000 students in the year level and they have to participate in a certain activity. They c...

A:

Q: A pair of dice is tossed. Find the probability of getting at least a sum of 5.

A:

Q: Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (...

A:

Q: R.5. Suppose you own x hats and y scarves, and you have more than one of each. a. How many combinati...

A: Let: x = hats y = scarf

Q: An engineering construction firm is currently working on power plants at three different sites. Let ...

A:

Q: Problem 5 In a bag, there are blue and orange marbles and are numbered 2-9. Four marbles are drawn a...

A:

Q: Dora recently explored southeast Australia where she found some very large trees known as Eucalyptus...

A: Given:  The provided sample mean is X = 293 and the sample standard deviation is s = 25, and the sam...

Q: Let {N(1), t z 0} be a nonhomogeneous Poisson process with intensity function A(1), t20 However, sup...

A: Given that Nt, t≥0 be a nonhomogeneous Poisson process with intensity function λt, t≥0.

Q: The probability that a randomly selected 29-year old male will survive the year is 0.998135 accordin...

A:

Q: Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 1 2 3 4 Prob...

A:

Q: сх с +—,0 <х<3 2 0, f(x) = otherwise О а. 1/3 ОЬ. 4/9 О с. 2/15 2/9

A: We know that , the probability density function is equals to 1.

Q: 4. Past experience has shown that, on the average, only one in ten wells drilled hits oil. Let X be ...

A: See below for handwritten solution.

Q: For mutually exclusive events R1​, R2​, and R3​, we have ​P(R1​)=0.05​, ​ P(R2​)=0.4​, and ​P(R3​)=0...

A: Two events A and B are given. If two events A and B are said to be mutually exclusive events, then P...

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mea...

A:

Q: 4 Discrete e Random Variables are given. Prebbility Discrete Funden( PDE); Por ro Q1,15, 2, 25,3,35 ...

A: Solution

Q: 4. A bias coin is flipped four times. If the probability of 'heads' occurring is twice the probabili...

A: ( 4 ) X is number of heads obtained then P ( X =3 ) = ? (5 ) P( B' INTERSECTION  C') =? ( 6 ) P ( no...

Q: determine the probability that one is damage b. determine the probability t that less than three anr...

A: Given Information: There are 50 items in a package. The number of damaged items is 4. So, the probab...

Q: An insurance company offers its policyholders a number of different premium payment options. For a r...

A:

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean...

A:

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mea...

A:

Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20, 0.30...

A:

Q: Below is an incomplete probability distribution for a random variable X. 1 2 3 4 5 6 |f(x) |f(x) | 0...

A: As per our guidelines we can solve first three sub part of question and rest can be reposted. Soluti...

Q: A fair coin is tossed and a fair die is thrown. Which has the greater probability when the event is ...

A:

Q: If A and B are independent events, show that A'and B are also independent. [Hint: First establish a ...

A: A and B are independent iff  P(A⋂B)=P(A)P(B)   

Q: The probability that a boy will get a scholarship is 0.9 and that a girl will get is 0.8. What is th...

A:

Q: There are 1000 students in the year level and they have to participate in a certain activity. They c...

A: Activity Skills Singing Dancing Acting Total Number of Students: 1000 Probability: The p...

Q: An engineering construction firm is currently working on power plants at three different sites. Let ...

A: Venn Diagram : A diagram may be a graphic that employs circles to depict relationships between objec...

Q: 5. The number of items sold per day in a sari-sari store, with its corresponding probabilities, is s...

A:

Q: Fourteen female and thirty male athletes were interviewed on their mental toughness in sports. One a...

A: It is given that highest rating according to Likert rating scale is 4 and the lowest is 1.  

Q: Functional literacy refers to the capacity of a person to engage in all those activities in whichlit...

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of suc...

Q: An urn contains 11 red, 10 white and 37 blue marbles. A child selects two marbles at random and with...

A:

Q: If P(A|B) = 0.3, P(B) = 0.8, and P(A) = 0.3, are events B and the complement of A independent? Expla...

A:

Q: Three balls are selected at random from a bag containing 2 red, 4 orange and 3 green balls. What is ...

A: Given,no.of red balls=2no.of orange balls=4no.of green balls=3Total no.of balls=9

Q: of the random variable K repres envoys of the random variable B.

A:

Q: Auuming that cal cul ate r Co.5 < X < 0:75).

A: P(0.5&lt;X≤0.75)=∫0.50.75f(x)dx, where f(x) is the probability density function. It is given f(x)= a...

Q: Assume that the mortality rate of a unicorn increases by 10% every year and assume that a proportion...

A: Given that the mortality rate of a unicorn increases by 10% every year and assume that a proportion ...

Q: Five balls needs to be placed in three boxes. Each box can hold all the five balls. In how many ways...

A: 5 balls and three boxes No. Of ways to placed the balls =?  By which no box remain empty * all balls...

Q: Question 1 Consider the transformation Y= 1/X, and the density function f(x) = 3x2 for 0<x<1 and is ...

A:

Q: The equation below estimates the effect of race on the probability of mortgage denial, holding const...

A: Given that,       Pr(deny=1|P/I ratio, black)=ϕ(-2.21+2.73P/I ratio+0.75black) where,       ϕ is the...

Q: What important skills must develop in getting the probability?

A: The probability associated with an event is defined as the chance of occurrence of that event.

Q: Find the probability of drawing a queen, a king and a knave in that order from a pack of cards in th...

A: