4. Suppose that a coin lands on heads with probability 0.5 and is tails otherwise. You toss the coin 100 times and get 55 heads. Was the original probability wrong? Explain your reasoning.

Q: a) : The joint probability function of two continuous random variables X and Y is given by f(x,y) =…

A: Solution Let x and y have joint pdf

Q: 2. On 60% of days, a hospital admits at least one heart attack patient. On 40% of the days, no heart…

A:

Q: The average number of loaves of bread put on a shelf in a bakery in a half-hour period is 12. Of…

A: Given dataThe average number of loaves of bread put on a shelf in a bakery in a half-hour period is…

Q: We measured the length of two sides X and Y of a rectangular plate several times under fixed…

A:

Q: What is the P VALUE? H(0) P= .68 H(A) P> .68 Sample size of 46.  63 People were surveyed. 48…

A: Answer is in steps given below. Thanks!

Q: a hospital switchboard receives an average of 4 emergency calls in a 10 min interval.What is the…

A: The average value λ is 4.

Q: The heights of American men are normally distributed with a mean of 65.3 inches and a standard…

A: We have given that  Mean(µ) = 65.3Standard deviations (σ) = 2.6X ~ N (µ, σ )= N(65.3, 2.6) z-score…

Q: 3 Consider the following transition matrix: [00100 01 000001 P = 0000 1 0 000 000 0 100 0000 a Which…

A: a)  transient state define as: A state i is said to be a transient state if there exists a state j…

Q: Question 5 Suppose that the random variables X₁,..., X and Y₁,...,Y, are random sample from…

A: Linear combination of normal distributed random variable is also follows normal distribution.

Q: FORMULATE TWO (2) SITUATIONAL PROBLEM OF REAL LIFE PROBLEMS INVOLVING CONCEPTS OF SAMPLING…

A: Given five variables for which examples of information to be collected : A. Height B. Weight C.…

Q: An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The…

A: Given info: An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose…

Q: To get to school, a student may walk, drive or travel by bus. Twenty per cent of the students  walk,…

A: Probability : Probability is the branch of mathematics concerning numerical descriptions of how…

Q: 7. Julie has 100 music CDs. 58 of the CDs are classical. 22 of the CDs are folk. The rest of the CDs…

A:

Q: A bank classifies its customer as either good or bad credit risks. Based on historical data, the…

A: We are given here that: P( late | good) = 0.01P( late | bad) = 0.1

Q: Brooke Henderson of the LPGA, who just won her second major last weekend, layed a round of golf and…

A: Let X be the random variable from normal distribution with mean (μ) = 21.4 and standard deviation…

Q: Suppose in a small town there are three places to eat, a Chinese restaurant, a Mexican restaurant,…

A:

Q: ange to an individual in state B at an exponential rate a; any individua o individuals, one of type…

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Q: What is the probability that a number selected at random from the first 1,000 positive integers is…

A:

Q: A random variable X has a probability density fun ; x<0 ; 0≤x≤ ; 1<x< 0 f(x) = { // -

A: The random variable X has a probability density function as given below: f(x) = 0  ; x&lt;012;…

Q: The magnitude of earthquakes recorded in a region can be modeled as having an exponential…

A: Given  Mean=2.4 X~exp(1/2.4)

Q: 4. If the sum of the variance of the activities on the critical path is equal to 25 weeks and the…

A: Given information- Expected time to complete the project, E = 65 Weeks Variance of the activities on…

Q: a) Compute E(Xy), Var(X) and Var(Y). b) Hence, deduce the value of p = Corr(X,Y).

A:

Q: For this probability question, a coin with probability p of heads is flipped until both heads and…

A:

Q: Jump to A red die and a blue die are rolled. You win or lose money depending on the sum of the…

A: Given: A red die and a blue die are rolled. You win or lose money depending on the sum of the values…

Q: Determinants Example 49. Find 1 3 1/1 5 -8

A:

Q: If the probability distribution for the random variable X is given in the table, what is the…

A: The expected value of X is calculate as E(X) = ∑x.p(x)

Q: A has a 80% chance of beating Team B in any given game. Jacob used this information and determined…

A: Given: P(A winning) = p = 0.80 Number of games in a series (n) = 5 Now, team A will win if the…

Q: The following table shows a sample of the expense ratios for different types of stock funds. U ANOVA…

A: Mid Cap Small cap Hybrid Funds Specialty Funds 1.3 2 2 1.3 1.1 1.4 2.4 2.6 1 1.5 1.5 2.9 1.3…

Q: Two cards are drawn from a 52 card deck (the first is not replaced). (a) Given the first card is a…

A:

Q: List all the possible outcomes in the sample space for this situation. For example, let 123 mean…

A: Given: let 123 mean that the first cell phone went to the first executive, the second cell phone to…

Q: From a deck of 52 cards (Ace, 2, 3.......10, Jack, Queen, King; with each one having clubs or…

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Q: Two fair dice are rolled and the sum rolled is recorded. What is the probability that the sum is at…

A: Given data Two fair dice are rolled and the sum is recorded

Q: probability that a visit to a particular car dealer results in neither buying a second hand car nor…

A: Given: Let S and J denote second hand car and Japanese car respectively. P(S) = 0.25 P(J) = 0.30…

Q: A food safety engineer has discovered that a food warmer has temperature problems. While they set up…

A:

Q: for part1 ,but the model ans is 0.159,is that model ans

A: Given: Total number of sides in a die = 12 Number of dice = 2 Q = product of 24.

Q: Three players enter a room and are given a red or a blue hat to wear. The color of each hat is…

A: We have to find the probability of winning the game under this strategy .

Q: Suppose that X₁, X₂, X3 are mutually independent random variables with the respective moment 2…

A: Given that MX2t=e2t+3t2           =e2t+6t22           =eμt+σ2t22, MGF of normal distribution That…

Q: Suppose the scores of students on an exam are normally distributed with a mean of 253 and a standard…

A: From the provided information, Mean (µ) = 253 Standard deviation (σ) = 80

Q: A baseball team is reviewing their batting statistics. The mean number of hits for the batters on…

A: Given Population mean μ=124,  standard deviations σ=14.5  Let X be the baseball team is reviewing…

Q: Macrostate 2 3 4 5 6 7 8 9 10 11 12 Probability of Rolling a Macrostate 1/36 = 0.0277= 2.8% 2/36 =…

A:

Q: what does Crn mean? and what does the ! sign stand for? and what does the C before the number stand…

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Q: A woman leaves for work between 8 AM and 8:30 AM and takes between 40 and 50 minutes to get there.…

A:

Q: Coffee markets that conform to organic standards focus on the environmental aspect of coffee…

A: We have given thatn = 843x = 417p̂ = x/n = 417/843 =  0.4947p = 60% = 0.6α = 0.05

Q: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Find…

A: Sample space of rolling two dice: s=(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)…

Q: Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with density of 3 per…

A: Given that Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with density of…

Q: (4) If X and Y are two random variables, the joint moments can be derived from the joint…

A:

Q: the sample variance is greater than 55? Click here to view a table of upper critical values for the…

A: Given n=17 Population mean=100 Variance=20

Q: Coffee markets that conform to organic standards focus on the environmental aspect of coffee…

A: The claim is that fewer than 60% of the coffee growers in the region of interest are either organic…

Q: You roll 4 standard dice. Find the probability of rolling at least 2 fives.

A: Given Roll 4 standard dice

Q: A box is chosen at random and a bulb is selected. If it is defective find the probability that it is…

A: Let us define some events A : a bulb is from Box I B : a bulb is from box II C : a bulb is from box…