Let X be a random variable with probability density c cos x, x E [-1/2,7/2], C COS X, f (x) = 0, otherwise, where c is some constant. (a) What must the value of c be? (b) Find the cumulative distribution function of X.
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hello! I need help with the following probability problem. Thank you in advance..!
![Let X be a random variable with probability density
c cos x, x E [-1/2,7/2],
C COS X,
f(x) =
0,
otherwise,
where c is some constant.
(a) What must the value of c be?
(b) Find the cumulative distribution function of X.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25ecc335-25be-4ebd-8f8c-629ee64b2629%2Fc1aab351-5e7e-4aa0-aa93-ea53fc19ac31%2Fu7vpiq_processed.png&w=3840&q=75)
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- Sub part d and eFor this problem, assume that you weigh 500 duck hatchlings. You find that 93 are slightly underweight, 6 are severely underweight, and the rest are normal. (1) What probability should be assigned to a single duck hatchling's being slightly underweight? (2) What probability should be assigned to a single duck hatchling's being severely underweight? (3) What probability should be assigned to a single duck hatchling's being normal?Classic Probability Kevin was a product tester at Texas Instruments. He was dropping calculators from a height of 5 feet on to a concrete surface. He found that out of 30 trials 6 of them were broken. Based on these initial trials what is the probability that the next calculator he drops will not break? OA. O A. : Theoretical Probability O B. Empirical Probability O C. Subjective Probability D. ; Dependent Probability
- For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be 10 or 3. (You may want to use a table showing the sum for each of the 36 equally likely outcomes.) The probability that the sum of the pair of dice is 10 or 3 is (Simplify your answer.)Please see the question in the image.You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
- Let’s assume the odds of getting a disease indoors in a classroom is 15%. In a class of 28 students, what is the probability that… Question #4: Half of the students get the disease?For the cases listed below, in which one would you most likely use the classical approach to assign probability? a. the probability that you roll a five on one roll of two dice. b. all of these c. the probability that at least one of the ten orders you placed on Amazon will be delivered late. d. the probability that you will become famous.I need help with this attached question, please. The parts a to c are: (a) Find the probability that a married couple watches the show. (b) a wife watches the show, given that her husbanddoes; (c) at least one member of a married couple will watchthe show.
- The below was the answer I received when I asked the following question. Dr. Deming’s Red Bead Experiment is an exercise in the laws of probability. The workers were frustrated because no matter what they did, the outcome was not predictable. If the paddle holds 50 beads and there are 500 white beads and 50 red beads in the box, what is the probability, using one sample, of filling a paddle with 47 white beads and only three red beads? What I need to understand is how did you get the highlighed answers below because these require a factorial of 500 and I have not found anything that will calculate that. Thank you Step 1 Given Information: Number of white beads = 500 Number of red beads = 50 Total number of beads = 550 Step 2 The probability, using one sample, of filling a paddle with 47 white beads and only three red beads can be determined as follows: Probability = C47500*C350C50550=(2.94*10^66) (19600)(3.44*10^71)=0.1675Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.19, the probability that "she's up all night for good fun" is 0.44, and the probability that "she's up all night 'til the sun" is 0.48, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"?Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies 14 Dimes 18 Nickels 9 Quarters What is the probability that you reach into the jar and randomly grab a quarter and then, without replacement, a penny? Express your answer as a fraction or a decimal number rounded to four decimal places.
