Let be the number of text messages that you receive while you are in class, and P(r) be the probability of text messages that you receive while you are in class. Consider the probability distribution table given below: (a) .35 .30 .25 H P(r) 0.15 2 0.20 3 4 5 0.25 0.30 0.10 Draw the probability distribution histogram.

Q: Alyssa and Gabriel play a game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives away…

A: Consider Alyssa and Gabriel playing a game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel…

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A: Given :

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A: 7-like song 12- not like song19- total song we have to find out the given probabilties.

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A: Consider a binary detection problem with two hypotheses. Consider a random variable Y with…

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A: As asked by you, I have answered sub-parts 4 and 5.

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Q: Suppose that P(X > 3) = 0.3, then O None of these a=0.44; b=0.26 a=0.42; b=0.29 a=0.34; b=0.26

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A: Normal distribution is known as symmetrical distribution,  Symmetrical means ( no skewness )  It…

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A: X~N( μ , ?)   μ=62 , ?=4   Z-score =( x - μ )/?

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A: Here given data are:

Q: One day at the dog park, John counted 135 dogs, of which 47 were off leash playing. Of the 47, 10…

A: 1) Given : John counted 135 dogs.  Here 47 are leash playing From the leash playing 10 are…

Q: If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be…

A: Sample space=S={0,1,2,3,4,5,6,7,8} Not multiple of 2={1,3,5,7} n(Sample space)=9 n(Not multiple of…

Q: 4. Find the expected values of ry 5. find the covariance Cov(X,Y) 6. find the correlation Cor(X,Y)

A: Expected value of xy: The expected value of xy can be calculated as: E[xy] = ∫∫ xy * f(x, y) dx dy…

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A: standard normal distribution Z~N(0,1) note : area under standard normal curve represents probability…

Q: An online company runs diet bets where customers can pay an amount of money into a pool in order to…

A: sample size (n) = 12sample mean ( x¯ ) = 190sample standard deviation (s) = 1598% ci for population…

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A: Let's first define our hypotheses:  Null hypothesis: H0: µ = 9.5 (the true mean number of solder…

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A: Answer  Given  X      Y        X*Y       X^2          Y^2  5      9         45        25…

Q: 3. Suppose that X is uniformly chosen from {1,2,3} and (Y | X = k) ~ Binomial (2, 4). We have a…

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Q: Suppose 59% of vegetarians are women. Suppose a random sample of 500 vegetarians is taken. What is…

A: Answer: From the given data, Population proportion of vegetarians who are women (P) = 59% = 0.59…

Q: If A and B are mutually exclusive events, with P(A)= (Simplify your answer.) 1 1 and P(B) = then P(A…

A: From the provided information, A and B are mutually exclusive events. P (A) = 1/3 and P (B) = 1/6

Q: 2. A fair die is thrown. What is the probability that it shows each of these? a. Event A: an even…

A: A fair die is thrown .sample space:{1,2,3,4,5,6}total outcomes:n=6

Q: When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38…

A: When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38…

Q: variance, o² = var(X), of X.

A: Here given that , suppose X has discrete uniform distribution , where range of X is {0, 1, 2, ....…

Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: The probability distribution of number of televisions per household in a small town X 0 3 P(x) 0.05…

A: X 0 1 2 3           P(x) 0.05 0.15 0.25 0.55

Q: A radio producer measures the duration of 52 randomly selected songs played on the radio station's…

A: given data sample size (n) = 52sample mean ( x¯ ) = 4.13 minutessample standard deviation (s) =1.10…

Q: For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be…

A: From the provided information, A pair of dice is rolled. Total outcomes = 36 Number of outcomes…

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Q: 8.2.3. Consider a normal distribution of the form N(0,4). The simple hypothesis Ho = 0 is rejected,…

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Q: Suppose that a family has 8 children. Also, suppose that the probability of having a boy (based on…

A: given data, n= 8p(boy)=P(girl)=12x= no. of boys in familyP(x≤6) = ?

Q: (a) Exactly 5 are color-blind. (b) No more than 5 are color-blind. (c) At least 1 is color-blind.

A: Here given, The probability that a person who identifies as male will be color-blind is 0.046.…

Q: Problem: In a game of Cara y Cruz, a player flips a coin and bets on whether it will land on heads…

A: In a game of Cara y Cruz, a player flips a coin and bets on whether it will land on heads or tails.…

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A: The confidence interval (24.1,32.3)

Q: In the Lotsa Millions Lottery, players pick 7​​ numbers from between 1​ and 43​. The order of the…

A: There is total 43 numbers between 1 and 43.

Q: a. After identifying the 16 different possible samples and finding the mean of each sample,…

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A: A bag contains three red marbles, two green ones, one lavender one, three yellows, and two orange…

Q: different groups

A:

Q: 4. Suppose we roll eight fair D6 and sum the pips. What is the probability that the sum is 19 given…

A: In probability theory, conditional probability is the probability of an event A occurring given that…

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Q: Suppose that random variable X is uniform on ​[a, b]. If P( X > 5 ) = 5/6 and P (X > 11) = 1/2, find…

A: From the provided information, X is uniform on ​[a, b]. P (X > 5) = 5/6 and P (X > 11) = 1/2

Q: Given the random variable X with distribution. x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18…

A: Solution-: We have given the following table: x P(X) 0 0.15 0.5 0.24 1 0.09 1.5 0.34…

Q: The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The…

A: Answer  Given  X    5     6    7      6      6     8      7     5 Y   9     10   10   11   12     13…