Suppose a cashier gives you a dollar coin in change. Because you have no reason to distrust this coin your prior is very high that this is a fair coin. In fact, your prior belief of the probability of the coin to give heads p(H) is the following probability distribution: p (p(H) = 0) = C 05⁰ (1 – 0)5⁰ de where C is just a normalization constant for the distribution to sum to 1: 60/110 1/2 61/112 You decide to flip the coin 10 times, and all 10 times it turns out head. What is your maximum likelihood estimate for the probability of the coin to give heads? 0 11/12 1 C 59/108 = 1 S²050 (1 - 0) 50

Q: if a customer buys 3 or more items they will receive a discount on shipping costs. what is the…

A: Let X be the random variable for the no. of items purchased per visit. The prob. dist. of X is, x…

Q: Antonella has purchased the life insurance policy for her dog for the price of $200 per year and…

A:

Q: 1. Use the joint probability below to calculate Var(X|Y=y1) [Make sure to show your equations and…

A: Here the joint probability mass function are given and we calculate the marginal probability mass…

Q: 4.2 The probability distribution of the discrete ran- dom variable X is

A: From the given probability distribution, The sample size is 3. That is, n=3 p=1/4 Mean=n*p…

Q: Consider the following probability distribution:…

A: The probability function of X is given by P(x)=(5!)/(x!(5-x)!).(0.7)x.(0.3)(5-x) , x=0,1,...,5

Q: Consider the following probability distribution. P(x) = Ae¯x/x x ≥ 0. a) Determine the value for A…

A:

Q: 3. X · P(X) (X – 4)? (х — и)2 . Р(X) X P(X) 1 0.11 0.40 7 0.30 10 0.19

A: According our policy we can answer only first question for remaining please repost the question.

Q: Calculate the probability the helicopter will be used less than three times next week. 0.67 0.54…

A: Given that X denote the number of times the helicopter is used in a week.

Q: Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type…

A:

Q: Suppose the random variable X has the following probability distribution. x:0, 2, 4 P(x=x)=0.2 0.1…

A: From the provided information The probability distribution table is as follow: X 0 2 4…

Q: Suppose x is a random variable best described by a uniform probability distribution with c= 15 and d…

A: Given: X  is a random variable best described  by  Uniform  probability distribution with c= 15 and…

Q: For number 5: Based on a hamster breeder's experience, the number of live pups in a litter of a…

A: Given prob. distribution is X=x 3 4 5 6 7 8 9 P(X=x) 0.04 0.10   0.31 0.22 0.05 0.02

Q: ilures of an electrically powered water engine is 6 months and shows an exponential…

A: The average time or the mean for the exponential distribution is shown as:Mean=1/lambda The variance…

Q: GB data package througha double satellite media. P(x) 0.40 1 0.30 0.25 3 0.05

A: Given: x: the number of re-transmissions  x P(x) 0 0.40 1 0.30 2 0.25 3 0.05

Q: The following table represents the joint probability distribution of the number of letters dropped…

A: From the given information, The pmf table can be expressed as;   Y=2 Y=3 Y=4 Y=5 P(X=x)   X=0…

Q: Let X be a geometric distribution function with px(n) = p(1 - p)n-¹. Find the expected value and the…

A: P(X=x)=p(1−p)x−1;x=1,2,3,...

Q: A random number X has the following probability distribution: x P(X=x) 0 .2 1 .2 5 .1 10 .3 y .2…

A: Given Data: Expected value: E(X)=10 The expected value of the given distribution is,…

Q: The time required to repair a machine has an exponential distribution with mean 2 hours. If five of…

A: The time required to repair the machine has an exponential distribution with mean of 2. Number of…

Q: e. Find the variance and standard deviation of the probability distribution of the random variable X…

A:

Q: For Question 2 Let A and B are two independent events such that P(A)=0.3 and P(B) = 0.15. Calculate…

A: P(A)=0.3 and P(B)=0.15A and B are independent.

Q: Let D denote the event that a subject has a certain disease. Let S denote the event that a subject…

A: Given: P(D|x) = exp(α+Xβ) / (1+exp(α+Xβ)).

Q: The annual volume of rain (in mm) in a certain region is normally distributed with μ = 40 and a σ =…

A:

Q: Determine the correlation for the following joint probability distribution 1 1 2 4 3 4 5 7 fw(X.y)…

A: Consider the following table based on given info:

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is  x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16   0.02 0.02

Q: For the random variable X defined by the probability function below, answer the following questions.…

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

Q: The wait time for your local pizzeria to deliver food is normally distributed with µ = 45 minutes…

A: We have to find given probability..

Q: 41. The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A: Given: Population proportion p = 0.17 sample size n = 800

Q: Consider two x distributions corresponding to the same x distribution with u o = 9.5. The first x is…

A: Given Information: Mean μ=60 Standard deviation σ=9.5 Sample size of first x¯ is n = 40 Sample size…

Q: Q1. For the following probability mass function, compute the Table 1: Probability mass function 150…

A: The provided information is as follows:The probability mass function is given as…

Q: Two devices work independently. The working time has an exponential distribution with the mean 50…

A: Given that two devices work independently. The working time of two devices have an exponential…

Q: Table 4.1 shows the probability distribution of a discrete random variable X. Table 4.1 X 1 2 3 4 5…

A:

Q: There are many engineering properties which cannot be negative, and so cannot be modeled using a…

A:

Q: 3. Let X and Y be two Binary random variables with joint probability distribution: x = 0 x = 1 0.2…

A: The joint probability density function is given as- fx,y x=0 x=1 y=0 0.2 0.4 y=1 0.1 0.3

Q: 3. Consider a Exponential Distribution with parameter of 0.0025 i.e. Exp(0.0025) B. Compute the…

A: Given  X~exp(parameter=0.0025)

Q: The time (in hours) that a certain component (which is frequently discharged into the atmosphere…

A:

Q: If a random variable X has the gamma distribution with a= 2 and ß= 1, find P(2.5<X<3.2) P(2.5<x<3.2)…

A: Given Alpha=2 Beta=1

Q: For a random variable with the given probability distribution. 2. 3 4. fix) 0.41 0.37 0.16 0.05 0.01…

A: Given data,   P(0≤x≤2)-(P(X≥3))=?

Q: 3. Given the following discrete probability distribution, x P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

A:

Q: If the following table represent a probability distribution with an expected value of 9. P(x) 2a 4a…

A:

Q: If a random variable X ∼ Exponential(1). Find the distribution of Y = X/λ.

A:

Q: See photo for question.  Is this a t distribution since we don't know the standard deviation of the…

A: It is given that the sample sizes n1 and n2 are large samples but the population standard deviation…

Q: In the US, the weight of a randomly selected adult male has a normal distribution with a mean of 191…

A: Mean(µ) = 191Standard deviations (σ) = 18.4 Sample size (n) = 50X ~ N (µ, σ )= N(201, 22)

Q: 0, x+2 x< -2 F(x) = - 25x<2 4 1, 25x

A:

Q: Let Y be a random variable with the following probability distribution: p(y) = y/6 for y = 1; 2; 3…

A: