Battery life X~N(20, 10). Guarantee: avg. battery life in a case of 24 exceeds 16 hrs. Find the probability that a randomly selected case meets the guarantee.

Q: Find P(X<2), that is, find the probability of obtaining less than 2 heads.

A: Find we have to find probability for each required case.

Q: Determine whether the random variable is discrete or continuous. In each​ case, state the possible…

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Q: The time between two phone calls in a customer care center is exponential with mean = 1 minutes.…

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Q: Show complete solution Average of 7 particles hit a magnetic detection field per microsecond. The…

A: Given,The average no.of particles hit a magnetic detectionfield per microsecond is (λ)=7A random…

Q: A particular coin is biased. Each time it is flipped, the probability of a head is P (H) = 0.95 and…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: 18% of biscuits made by a baker are chocolate chip cookies. 9 biscuits are selected at random. a)…

A: Let the random variable X defines as number of chocolate chips.   From given data 18% of the…

Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: For T Tdf 76, use technology to find the probability P(T< 0.94): P(T < 0.94) (Round the answer to 4…

A: It is given that the t-distribution with df = 76.

Q: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

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Q: Variable X assumes 0, 1, 2 and 3 with probabilities 0.3, a, 0.1, and b, respectively. Find a and b…

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Q: Normal approximation to estimate the probability of getting exactly 51 girls in 100 births. Assume…

A: Given, Both boys and girls are equally likely P(B) = 0.5 P(G) = 0.5 Sample size n = 100 By normal…

Q: Suppose Y ~ Uniform(01,02) where the parameters 01 and 02 take the values -4 and -3 respectively.…

A:

Q: Find the probability that the first traffic light is green given that the second traffic light is…

A: P(A) = 0.55. P(AC) = 0.45 P(B|A) = 0.75 P(B|Ac) = 0.09 P(B) = 0.453P(A|B) = ?

Q: The time that a butterfly lives after emerging from its chrysalis can be modelled by a random…

A: Given that the random variable T has the probability distribution, PT&gt;t=366+t2 for t≥0. The…

Q: Assume .x = N(85,25). What is the probability that x less than 57?

A: Given ,X~N(85, 25)

Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 3…

A: Given: Password = 3 digit long Digit could be a number between = 0 and 4 so , that is = 0 , 1 , 2 ,…

Q: Suppose the probability density function of the length of computer cables is f(x) = 0.1 from 1200 to…

A: From the provided information, a) The mean can be obtained as:

Q: A certain virus infects one in every 600 people. A test used to detect the virus in a person is…

A: Define the following events:   A: a randomly selected  person is infected from virus B: a randomly…

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: The probability that a person will pass a driving license test is 0.60. For each trial, he pays RO…

A: It is given that a person will pass a driving license test, therefore the probability (p) is 0.60.…

Q: The probability that you will receive a wrong number call this week is 0.1. The probability that you…

A: From the provided information, Let A represent the event that he will receive a wrong number call…

Q: The amount of time that Alyse has waited for the school bus this year can be modeled by a uniform…

A: The objective of this question is to find the probability that Alyse waits less than 1 minute for…

Q: The probability that a couple will havenbaby boys in a row is given by the formula the probability…

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Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5…

A: The password is 5 digits long and each of the digit could be a number between 0 and 3.

Q: Assume that guesses are made for 2 questions on a medical admissions test such that the probability…

A: Here, n = 2 and p = 0.80.

Q: 312 33. Find the probability of throwing 6 at least once in six throws with a single die.

A:

Q: On average, a textbook author makes two words processing errors per page on the first draft of her…

A: Let X be the number of errors made in one page. Then X has a poisson distribution with λ=2 per…

Q: The amount of time you wait for the bus is uniformly distributed on the interval from 5 to 10…

A: Let X denote the amount of time you wait for the bus and it follows uniform distribution on interval…

Q: (a) What is the probability that the receiver gets a 0? (b) If the receiver gets a 0, what is the…

A: Let us define some events A : the system transmits 0 B : the system transmits 1 E : the receiver…

Q: Streak of Boys Jay and Kateri Schwandt had 13 children–all boys! The probability that 13 randomly…

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Q: Average of 7 particles hit a magnetic detection field per microsecond. The probability at least 5…

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Q: P(z < 0.76) Express the probability as a decimal rounded to 4 decimal places.

A: Given ( z &lt; 0.76)

Q: Assume, the record shows that annual rainfall in a certain catch basin follows N(60, 15) (inches)…

A: According to the provided information, the annual rainfall in a certain catch basin follows N(60,…

Q: A hacker is trying to guess someone's password. The hac

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Q: A biased coin has a 0.31 chance of coming up heads when flipped. Let X be the number of heads when…

A: The given information is that the chance of getting a head in biased coin is 0.31.

Q: Mark has a batting average of 0.38. What is the probability that he has fewer than 2 hits in his…

A: Probability = 0.38Sample size = 8

Q: probability of seeing a ship from the beach in I hour is 0.33, what is the probability of seeing a…

A:

Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5…

A: Please see below