A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y-that is, p(y) = ky for y = 1, ..., 6. (Enter your answers as fractions.) (a) What is the value of k? [Hint: p(y) = 1] y = k = (b) What is the probability that at most four forms are required? (c) What is the probability that between three and five forms (inclusive) are required? (d) Could p(y) = for y = 1, ..., 6 be the pmf of Y? 92 6 --Select--- O , because p(y) = y = 1

Q: Assume P (AU B) = .73, P (A) = .51, and P (B) = .47. Find P (AN B (AnB)

A:

Q: For this problem, carry at least four digits after the decimal in your calculations. Answers may…

A:

Q: A professor gives A's to students with z-scores of +1.50 or higher. a. What proportion of a class…

A: The distribution of proportion should be normally distributed. z-score = 1.5

Q: If two persons A and B are attending a test with %3D P(A)=0.45, P(B)=D0.36 then PAUB)= O a. 0.648 O…

A: Answer: Option a. 0.648 Explanation: If two persons A and B attending a test with PA=0.45 and…

Q: Assume P (A) = .68, P (B) = .45, and P (AN B) = .25. Find P ( An I (An).

A:

Q: When rolling two dices, as each side of the first dice carries the numbers 1 to 6, and the sides of…

A: Given, two dices and the first dice carries the numbers 1 to 6, and the sides of the second diceThe…

Q: A biased die is such that the probability of rolling a 6 is equal to 0.4. The die is rolled 8 times.…

A:

Q: y'+ay=o , y6)= 1.5

A:

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: Total Cards in deck = 52 Number of club in the deck = 13 Number of spade in the deck= 13 Probability…

Q: Compute the Harmonic mean of the following values: 15, 250, 15.7, 157, 1.57, 105.7, 105, 1.06, 25.7,…

A:

Q: 72. A traffic light at an intersection has a 120-sec cycle. The light is green for 80 sec, yellow…

A: Given: A traffic light at an intersection has a 120 sec cycle. The light is green for 80 sec. The…

Q: 59% of all the towns residents own a dog and 69% own a cat. Of the dog owners 43% also own a cat. If…

A: Given 59% of all the towns residents own a dog and 69% own a cat. Of the dog owners 43% also own a…

Q: Which of the following is the probability of getting a number greater than 4 when a die is rolled…

A: Probability = Number of favorable outcomes / Total number of favorable outcomes

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: P(rain)=20% = 0.20P(sunny)=60% = 0.60P(rain and sunny)=10%=0.10

Q: Suppose you found the number the probability of women meeting the height requirement to be .6603 and…

A: Option D is the false statement. Explanation : probability of men meeting the height criteria is…

Q: 1f. It has been reported that the first week in May NC has an average daily temperature of 88…

A: Average daily temperature of first week in May is 88 degrees. The first week had recorded…

Q: Identify the proportion and probability for each of the following. c) Z > 1.6   d) Z < -1.25

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: 6. If P(A) = 23, find P(Ā).

A: Given that. P(A)=0.23

Q: %23 SSS SAS

A: Here we given that the two figures.First we draw the figures.

Q: \ssume P (A) = .53, P (AN B) = .33, and P( A N B = .25. Find P (B)

A:

Q: For the target shown below, the radius of the outer circle is 120 cm, the radius of the inner circle…

A: Step 1: The probability of the dart hitting any part of the shaded regions = Shaded area / Total…

Q: Which of these "X" variables is a discrete variable? a.A student is randomly selected and X is the…

A: Here given cases for discrete variable or continuous variables

Q: Let L = (a" : n2 0}. Which of the following is true? O a. L = L but Lt # L. O b. L' # L but L* = L..…

A: This is a question of Automata theory.

Q: Let X be the number of tosses required until the sum of dice is 12. Give the PMF  of X.

A: The long form of PMF is Probability Mass Function, it is defined as the probabilities of all the…

Q: Use the following for problems 7 & 8. A single fair six-sided die is rolled. 7. Find the probability…

A:

Q: 6. What is the answer for P(-2.05 <Z<-1.14)? a. .0202 b. .0668 c. .1069 d. .1271

A: given data standard normal distributionZ~N(0,1)

Q: Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a…

A: Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a…

Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

A:

Q: Given that every sixteenth person in line will get a coupon for a free box of popcorn at the movies,…

A: Given that every sixteenth person in line will get a coupon for a free box of popcorn at the movies,…

Q: A) If a person is selected at random, find P(C), the probability that the person is Color-Blind.…

A: Given data: The total numbers of color blinded persons are n(C)=52. The total numbers of male that…

Q: probability that a viewer preferred watching videos on a tv screen?  c) percentage of viewers who…

A:

Q: A ping pong ball is drawn at random from an urn consisting of balls numbered 4 through 9. A player…

A: a) An urn consists balls numbered 4 through 9. That is there are 6 balls in the urn. The probability…

Q: Sarah throws a fair die multiple times, recording the total number of "2"s she throws and then…

A: Here, we see that, Sarah throws the die again and again.  She records the total number of 2s she…

Q: Let X be the sum of the roll of two fair six-sided dice.  Find P[X = 8 | X = 7 or X = 8] A. 1/9 B.…

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: pxp XA

A: Explanation of the answer is as follows

Q: The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are…

A:

Q: IF X-N(47, 225). Find the z-score of X=53 O A. -0.4 O B. 1.25 O C. None of these O D. -0.73 O E. 0.4

A: In question, Given that X~N(47, 225). Then we'll find the z - score of X = 53. The solution is…