Find the probability of the following using the standard normal-distribution a) P( -2.36 < z< -1.36) b) P(z < 1.36)
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A: P(-1.54≤x≤1.54)=P(x≤1.54)-P(x<-1.54)=0.9382-0.0618 [using the standard normal table]=0.8764
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Q: Consider the standard normal distribution. a) Find: P(z > 2.38) b)Find: P(-2.10 < z < 1.00)
A:
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- Assume Z is a random variable with a standard normal distribution and c is a positive number. If P(Z>c)=0.1 then P(−c<Z<c)=0.8. True or FalseI will be using parenthesis as a substitute for more than and less than sign because it doesn't show up here. Find the probability of P {0(z(2.64} using standard normal distribution.probabilites for Z from standard normal table Use the table for the (standard) normal distribution to find each of the following probabilities a) Pr(Z < 0.57) b) Pr(Z > 0.35) c) Pr( -1.14 < Z < 2.24 )
- Assume the random variable x is normally distributed with mean p= 89 and standard deviation o = 5. Find the indicated probability. P(75Please solvefind the value of the probability of the standard normal variable Z corresponding to the shared area under the standard normal curve.Let the r.v. Z have the standard normal distribution. Find (i) P(Z≤-2.15) (ii) P (Z≥ 1.96) (iii) P (-1.96≤ ? ≤ −0.84) (iv) P (-1.30≤ ? ≤ 2.18) (v) P (0≤ ? ≤ 1.20)The average THC content of marijuana sold on the street is 10.3%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible a. What is the distribution of X? X ~ N(___,___) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 12.3. c. Find the 62nd percentile for this distribution.A random variable r is normally distributed with a mean of five and a standard deviation of 2.5 a) Find the value of W so that p( w < r < 10) = .8413 b) find the value of w so that p( 7 < r < w) = .1000A binomial distribution has p = 0.35 and n = 100. If we are trying to approximate its probability using a normal approximation (applying the Central Limit Theorem) what is the standard deviation that we will use for this approximation? (a) 0.4770 (b) 0.2275 (c) 0.0477 (d) 4.7697 (e) None of the aboveshow work, thumbs up for correct answerAssume the random variable x is normally distributed with mean u = 83 and standard deviation o = 4. Find the indicated probability. P(70SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON