Based on an analysis of sample data, an article proposed the pdf f(x) = 0.55e-0.55(x - 1) when x 2 1 as a model for the distribution of X = time (sec) spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 7 sec? More than 7 sec? at most 7 sec P(X ≤ 7) = more than 7 sec P(X> 7) = (b) What is the probability that waiting time is between 6 and 7 sec?

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A: Number of boys = 10Number of girls = 5

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A: We have to find the z-score that has 75.5399% of the distribution area to the right

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A: 1, 4, 4, 7, 7, 7, 11, 11, 14, 16, 16

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A: F(K)=1−13k

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A: There is a 90% chance of growing into a healthy plant.

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A:

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A: From the provided information,The cumulative area is 0.4708.

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A: No.of red toys=4No.of blue toys=6Total no.of toys=10

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A: Z be the standard normal distribution P(Z<-1.36 or Z>1.36)=?

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Q: Help: Suppose X ∼ Unif(a, b). Find Var(X).

A: Suppose X ∼ Unif(a, b).

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A: (c)Given, follows a gamma distribution with shape parameter  are independent random variables ,each…

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Q: a. Flip a balanced coin 5000 times. Let X be the total number of heads. Compute P(2400 ≤ X ≤ 2600).…

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Q: Suppose X is a random variable taking possible values in {1, 2, 3,... } and 0 < P(X = 1) < 1, and…

A: Let X be the random variable having possible values {1,2,3...} and 0&lt;p&lt;1X satisfies the…

Q: Of the emails you receive 20% are spam on average. Your spam filter is able to detect 90% of them…

A: P(Spam)=0.20P(not a spam)=1-0.20=0.80P(Detected | Spam)=0.90P(Detected | not a spam)=0.15

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A:

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A:

Q: Consider the following transition probability matrix: [0.6 0.2 0.2 P= 0.3 0.4 0.3 0.0 0.3 0.7 a.…

A: transition probability matrix is given:

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Q: (a) (c) = 0.9854 (b) P(0 ≤Z≤ c) = 0.2995 (c) P(c≤ Z) = 0.1271

A:

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A: As per our guidelines, we can solve the first three sub parts of question and rest can be…