Q2. If the lifetime X of a hearing aid battery has Weibull distribution with a = 0.1,ß = 0.5. Find the probability that such a battery a) will function for more than 300 hours b) will not last 100 hours Also, Find c) mean
Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…
A: The distribution of female pulse rate (beats per minute), it is given that, The mean, μ=76.0 The…
Q: g) What is the probability that 190 16300 minutes?
A: Let X¯ be the random variable representing the mean time (in minutes) that the 81 students needed to…
Q: Assume that females have pulse rates that are normally distributed with a mean of mu equals 74.0…
A: Given the pulse rates of females are normally distributed with mean 74 beats per minute and standard…
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A: n1=12, n2=12x¯1=0.48, x¯2=0.43s1=0.95, s2=1.16
Q: Assume that females have pulse rates that are normally distributed with mean of mu = 72.0 beats per…
A:
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per…
A: a) The female have pulse rates that are normally distributed with mean 73.0 beats per minute pounds…
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Q: If X~Bin(98, 0.06), what is the variance of (30X+3)? O a. None of the answers. O b. = 5.53 O c. =…
A: Given X~Bin(n=98, p=0.06) Result: Var(X)=np(1-p) Var(aX+b)=a2V(X)
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105and a standard…
A: given data normal distribution μ=105σ=20P(X<141)=?
Q: Assume that females have pulse rates that are normally distributed with a mean of mu equals…
A:
Q: A study shows that the normaltime that a customer occupied a table in a fine diningrestaurant is 1 2…
A: Given : n = 25 s = 30 minutes = 0.5 hours μ = 1.2 hours
Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…
A: The question is about normal distribution Given : Popl. mean pulse rate of females ( μ ) = 76 beats…
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 74.0 beats per…
A: Given: Mean (µ) = 74.0 Standard deviation (σ) = 12.5 X~N (74.0, 12.5)
Q: Assume that females have pulse rates that are normally distributed with a mean of mu equals…
A: It is given that the female pulse rates follows normal distribution with mean 75 and standard…
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Q: If X~ Bin(98, 0.06), what is the variance of (30X+3)? a. None of the answers. O b. = 4974.48 c. =…
A: It is given that the random variable X follows Binomial distribution i.e, X ~ Bin( 98, 0.06 ) Here,…
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…
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Q: Assume that females have pulse rates that are normally distributed with a mean of u=74.0 beats per…
A: Given information Mean µ = 74 beats per minute Standard deviation σ = 12.5 beats per minute
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0beats per…
A: Given data, μ=72 σ=12.5
Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…
A: Reviewing information, X : Pulse rates of females per minute X~Nμ=76,σ=12.5
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Q: Assume that females have pulse rates that are normally distributed with a mean of μ=75.0beats per…
A: X follows a Normal distribution with mean = 75 and S.D = 12.5 Then z=(x-mean)/SD = (x-75)/12.5…
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…
A: Given datanormal distributionμ=72σ=12.5
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Q: randomly selected, find the probability that her pulse rate is between 69 beats per minute and 83…
A: The mean is 76 and the standard deviation is 12.5.
Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…
A: Solution: a. Let X be the females pulse rate. From the given information, X follows normal…
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Q: Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per…
A: Given, Mean μ = 72 Standard deviation σ = 12.5
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per…
A: From the provided information, Mean (µ) = 76.0 Standard deviation (σ) = 12.5 X~N (76.0, 12.5)
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per…
A: Solution To find probability we will use z score.
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…
A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…
Q: Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per…
A: let X be the pulse rates of the females.Want to find probabilities?e
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per…
A: Given that, Females have pulse rates…
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 73.0 beats per…
A: we have given that mu=73.0 , sigma =12.5 X~N(mu=73.0 , sigma=12.5 ) { p-value is calculated from…
Q: Assume that adults have IQ scores that are normally distributed with mean of mu = 100 and a standard…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard…
A:
Q: Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per…
A: Obtain the probability that 1 adult female pulse rate is less than 83 beats per minute. The…
Q: Assume that females have pulse rates that are normally distributed with a mean of u= 75.0 beats per…
A: #--> Given X ~ N(μ, σ ) Where μ = 75 & σ = 12.5…
Q: Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per…
A: Given information- Population mean, µ = 76 beats per minute Population standard deviation, σ = 12.5…
Q: 1) What is the variance of this population? [ ) What is the variance of Xtot? (to three decimal…
A: The population has a standard deviation of 23. So, σ = 23 And, Variance, σ2 = 232 Sample size , n =…
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- Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?arn.squ.edu.om/mod/quiz/attempt.php?attempt=1766808&cmid=8751228&page=D21 SYSTEM (ACADEMIC) s Statistics 1 || Spring21 Time left 0: Suppose a company produces lightbulbs with a mean lifetime of 1000 hours and a standard deviation of 50 hours. So, the z-score for a particular lightbulb that lasts for only 700 hours is a. 300 b. 6Assume that females have pulse rates that are normally distributed with a mean of mu equals 76.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than82 beats per minute. The probability is (Round to four decimal places as needed.)
- The distribution of life spans is approximately normal and u=40, how large a sample is required in order that the probability of committing a type II error be 0.1 when the true mean is 35.9 months? Assume that o = 5.8 months.Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minuteAssume that females have pulse rates that are normally distributed with a mean of u= 73.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 67 beats per minute and 79 beats per minute. The probability isN (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with mean between 67 beats per minute and 79 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O C.…
- Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?Assume that females have pulse rates that are normally distributed with a mean of 76.0 beats per minute and a standard deviation of e- 12.5 beats per minute. Complete parts (e) through (c) below a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute The probability is 5048 (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is (Round to four decimal places as needed.)Assume that females have pulse rates that are normally distributed with a mean of u=75,0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. ne a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. ent The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of sample means, not individuals,…
- Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (b) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 72 beats per minute and 80 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 72 beats per minute and 80 beats per minute. The probability is (Round to four decimal places as needed.)Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is- (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the…Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer. Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.3. Round all answers to 4 decimal places and 3 = b) What is the probability that data transfer time exceeds 49 ms? a) What are the values of a = ? c) What is the probability that the data transfer time is between 49 and 67 ms?