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Normal Distribution Contd. Starter Quiz 2

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Question 1Multiple Correct Options

A die is tossed 180 times. If the probability of 6 turning up atleast 35 times is calculated through normal distribution which of the following computations are corrected for the above Data?

(Area under the normal b/w  and  is 0.35)
[Multiple Select Question]

Question 2

The number of parameters of Binomial and Normal Distribution are respectively?

Question 3

Let X be a random variable following normal distribution with mean +1 and variance 4. Let Y be another normal variable with mean –1 and variance unknown. If P(X ≤ -1) = P(Y ≥ 2), the standard deviation of Y is

Question 4

Which of the following is FALSE about Normal distribution?

Question 5

The standard normal probability function can be approximated as 
Where, XN = standard normal deviate. If mean and standard deviation of annual precipitation are 102 cm and 27 cm respectively. The probability that the annual precipitation will be b/w 90 cm and 102 cm is

Question 6

Let X be a binomial random variable with n = 72 and . Using normal approximation to binomial distribution, an approximate value of P(22 ≤ x ≤ 28) is:

Take P[-0.5 ≤ Z ≤ 0] = 0.1919

P[0 ≤ Z ≤ 1] = 0.3413

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