Suppose that X~bin(75,0.2). Using the normal approximation to the binomial distribution, P(14.< X <= 16. ) is closest to: О а. 0.28 O b. 0.25 О с. 0.33 O d. 0.22 О е. 0.17

Q: The absolute viscosity for sunflower oil is supposed to average 0.0311 Pa⋅s at 38 ∘C. Suppose a food…

A: Given information Sample mean x̅ = 0.0318 Population mean µ = 0.0311 Sample size = 4 Standard…

Q: Find the moment generating function of normal distribution and obtain the first four moments about…

A:

Q: Suppose data X1, ..., Хп, п> 30 are sampled from the population. According to central limit theorem,…

A: We want to tell you above statement is true or false

Q: If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the…

A: The formula for z score is,  Here µ  is the mean and σ  is the standard deviation.  The…

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45.  If…

A: Given, A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45.…

Q: Suppose the distribution of the time $X$ (in hours) spent by students at a certain university on a…

A: Here, mean  =50×2 =100 Variance =50×4 =200

Q: It is appropriate to use A Normal approximation for a Binomial distribution with n3D20 and p3D0.4.

A:

Q: The time spand of now lona It takes to tomatos is approximatety normaly grow distributed with mean…

A:

Q: In a sample of 12 randomly selected high school seniors, the mean score on a standardized test was…

A: Given : x¯ =1178 s = 163.3 μ = 1018 n = 12 t = x¯-μsn

Q: 12% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A: Given: n=479p=0.12 Use normal approximation with mean μ and standard deviation σ. μ=np   =479*0.12…

Q: Use the normal approximation to estimate the probability of getting exactly 48 girls in 100 births.…

A: Given: The sample size of births is n=100. The probability of birth of a girl is p=0.5. For Binomial…

Q: A manufacturer claims that the replacement time for their CD players has a mean of 7 years and a…

A:

Q: It is estimated that 12% of the vehicles entering Canada from the United States carry undeclared…

A:

Q: In a sample of 14 randomly selected high school seniors, the mean score on a standardized test was…

A:

Q: Suppose that a loss follows log-normal distribution with the parameters μ=3μ=3 and σ=2σ=2. Find the…

A:

Q: Suppose the sediment density of specimens from a certain region has mean 2.55 and standard deviation…

A: Points on sampling distribution of the sample mean: If the true population distribution of a random…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Solution

Q: From a sample with n= 32, the mean duration of a geyser's eruptions is 3.61 minutes and the standard…

A: Given that,  n= 32 ,μ=3.61σ=1.11 The formula of k is, The value of k is,

Q: Suppose that during periods of meditation the reduc-tion of a person’s oxygen consumption is a…

A: a) That is, µ= 37.6, σ= 4.6. Thus,  X~ N (37.6, 4.6). The required probability is calculated as…

Q: Among people who subscribe to the Sacramento Bee Newspaper, 40% have a college degree. If a simple…

A: Among people who subscribe to the Sacramento Bee Newspaper, 40% have a college degree. So, if a…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A:

Q: he probability of the mango chosen at random being infested by worms is Find the xpectation and…

A:

Q: Suppose only 40% of all drivers in a certain state regularly wear seatbelts. A random sampleof 400…

A: Given,n=400p=0.40mean(μ)=npμ=400×0.40=160standard deviation(σ)=np(1-p)σ=400×0.40(1-0.40)σ=9.79796

Q: A machine learning researcher proposed a new model that is believed to be 0.02 more accurate than…

A: 1.   From the given information, µnew=0.73 σnew=0.04 µold=0.72 σold=0.16 nnew=16 nold=64   Consider,

Q: BIG Corporation produces just about everything but is currently interested in the lifetimes of its…

A:

Q: he weight of breads prepared in a baker is randomly distributed with a mean of 400 grams and…

A: Given that,  μ=400,σ=16,n=16 (a) The mean and standard deviation of the average weight of these 16…

Q: In kurtosis, the bell shaped distribution called mesokurtic if the frequency looks more peaked than…

A: Basics:

Q: Suppose that replacement times for washing machines are normally distributed with a mean of μ=8.7…

A: For a variable distributed normally, i.e for X~N(μ, σ) the z-score for X is, Z=X-μσ; Z~N(0,1)…

Q: In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas…

A: It has been given that 53% of the flowers of the reward less Orchid, Dactylorhiza sambucina, are…

Q: Use the continuity correction factor, estimate the area under the normal curve that approximates the…

A: Given: μ=7σ=2.16n=25

Q: In the US, the systolic blood pressure of a randomly selected patient has unknown distribution with…

A:

Q: Suppose that half of all students (50%) in campus dormitories are dissatisfied with the food…

A: n = 64 p = 0.5

Q: If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the…

A: Solution: Let X be the score. From the given information, X follows normal distribution with mean µ…

Q: a) A random sample of 6 insurance claims is selected from a lot of 15 that has 3 non-conforming…

A: NOTE-By bartleby rules, only first question has been answered. As per given by the question, by…

Q: the highest grade for Florida oranges is U.S. Fancy and is based principally on color. Suppose that…

A: Given Data: n=44 p=0.4 Mean=44*0.4=17.6 SD=sqrt(44*0.4*0.6)=3.25   Using binomial to normal…

Q: Suppose that a new treatment is successful in curing a common ailment 60% of the time. If the…

A: Let p be the probability that a patient is cured with new treatment. Given that p = 0.60 Let X…

Q: The manufacturer of kg jars of jam wants to fill the jars with a mean Weight of 1.045 kg and a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose X1,...,X, is a random sample from an exponential distribution with mean 0. If X = = 17.9…

A: Given Information: X1, X2......Xn is a random sample that follows exponential distribution with mean…

Q: mation to e

A: According to the sum, the probability of having a boy=p=0.5 So, the probability of having a…

Q: 4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample…

A: Obtain the approximate probability that the number of students in the sample owning a smart phone…

Q: Assume a distribution with mean of 50 and a standard devivation of 12.  For an x-value of 65, the…

A: Given information- Population mean, µ = 50 Population standard deviation, σ = 12

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given that the duration of a particular type of criminal trial is known to be normally distributed…

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

A: It is given that Xi~N(3,8), i=1, 2, … , 8, where 3 is the mean and 8 is the standard deviation. The…

Q: The local news reported that 6% of U.S. drivers text on their cell phones while driving.  If 300…

A: Normal approximation to the binomial:From the given information, it is clear that sample size, n =…

Q: 40% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A: Given that  P = 0.40 q= 1 - p = 1 - 0.40 = 0.60  n = 232  Using binomial distribution  Mean = mu =…

Q: Suppose X Bin(n, π), i.e. X has a binomial distribution. Explain how, and under what conditions, X…

A: Solution-: Suppose,   X→B(n,π) Explain how and under what conditions, X could be approximated by a…

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0, 8555 g…

A:

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8538 g…

A: