Question

In: Statistics and Probability

1. Which of the following are characteristics of the Normal Distribution? (Select all that apply) bell...

1. Which of the following are characteristics of the Normal Distribution? (Select all that apply)

bell shaped

continuous

discrete

symmetric

2. X~N(335, 50). Find the z-score corresponding to an observation of 284.

-1.02

6.7

1.02

-6.7

Expert Solution

Charecteristic of A normal distribution:- Here, are the the characteristics of a normal distribution.

Symmetric :--A normal distribution is perfectly symmetrical around its center. That is, the right side of the center is a mirror image of the left side. There is also only one mode, or peak, in a normal distribution.

Contineous :--- Normal distributions are continuous and have tails that are asymptotic, that means they approach but never touch the x-axis.

bell shape :--It should be of bell shape in which The center of a normal distribution is located at its peak, and 50% of the data lies above the mean, while 50% lies below.

Discrete :-Since it is contineous So it cant be discrete .

So from the above we can conclued that the charecteristic of a normal distribution is

i)Bell shaped

ii)Contineous

iii)Symmetric

2) given datas

X=284 now we have to find Z score

so from the formula the Z score corresponding to observation X=284 is we have

orchestra answered 2 years ago

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