Find c such that the function f(x)= ce 0.664>x>0.0195. Select one: O a. 0.14291353 b. 49.79334173 c. 57.65543144 d. 28.82771572 e. 17.48489343 -(2x+3) is a valid probability distribution over the range
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- Compute the probability P (DI C) using P(DNC) P(DIC)= P(C) and the appropriate table values. P(DIC) = (Round to two decimal places.) A B C Totals 0.30 0.10 0.10 0.50 0.10 0.20 0.20 0.50 0.30 0.30 1.00 D E Totals 0.40Let X denote a random variable having a distribution. If F(x)=ax³ where 0≤x≤(+3). Find f(x) after getting the constant value (a) and find the probability P(2Only need D-F.For each value of z*, find the cumulative probability P(Z s z*). (Round your answers to four decimal places.) AUSE SALT (a) z* = 1.96 (b) z* =-2.33 (c) z* = 2.58 (d) z* = 1.65Find the value of a using probability (z-table): P[-a < Z < a] = 0.7994If X is distributed t2s then what is the probability X is less than or equal to 1.7(Pr (X ≤ 1.70))? 0.70 0.92 0.05 0.95For the given probability distribution: X: 0 P(X): 0.22 0.18 Find the given probability, P(X<2)? 1 CS Scanned with CamScanner 2 0.19 3 0.16 4 0.25Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=56 p=0.5 x=30 A)For n=56, p=0.5, and X=30, use the binomial probability formula to find P(X). B)Can the normal distribution be used to approximate this probability? A. No, because np(1−p)≤10 B. Yes, because np(1−p)≥10 C. Yes, because np(1−p)≥10 D. No, because np(1−p)≤10 C) Approximate P(X) using the normal distribution. Use a standard normal distribution table. A. P(X)=enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. D) By how much do the exact and approximated probabilities differ? A.enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. E)By…Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n = 53, p = 0.7, and X=41 For n = 53, p=0.7, and X=41, use the binomial probability formula to find P(X). 0.0632 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? OA. Yes, because √np(1-p) ≥ 10 OB. No, because np(1-p) ≤ 10 OC. No, because √np(1-p) ≤ 10 OD. Yes, because np(1-p) 2 10Dunkin donuts joint receives orders distributed X ∼ Poisson(λ = 1.6), where X denotes ”number of donuts ordered per second”. The store is overwhelmed when more than 120 orders are placed a minute. What is the probability that the store becomes overwhelmed in a given minute?Let X equal the weight of the soap contained in a box. Assume that the distribution of X is N(u = 6.05, o² = 0.0004). (a) Compute the probability P(X < 6.0171) (b) A random sample of nine (9) boxes of soap is selected from the production line. Let Y equal the number of boxes that weigh less than 6.0171. What is the distribution of Y?The probability distribution function of a random variable X is 4. P(X =x)=Dk for x=0,1, 2,3,4 where k is a constant. Determine (a) the value of k. Hence, find P(0SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON