Question

In: Statistics and Probability

A) The data below shows the mean M and standard deviation S For the grades of...

A) The data below shows the mean M and standard deviation S For the grades of three subjects: M1=70, S1=5. M2=60,S2=2. M3=95,S3=1 certain student took the three subjects she got 72 in the first 66 in the second and 90 in the third in which cause she did better?( I am not sure if she did better in subject two or three because subject three has a standard deviation of 1)

B) A large basket of fruit contains 13 oranges 12 apples and 15 bananas if two fruits are chosen it at random without your place with what is the probability of getting a banana and an apple ? ( why is none The wrong answer wrong? I got 3/13 ) A)None B)1/5   C)2/5 D) 12/29 E)6/25

Solutions

Expert Solution

A) As we know,

The mean is the average of a group of numbers, and the variance measures the average degree to which each number is different from the mean so she did better by got 72 in the first because more deviation in the same.

B)

In this problem, once the fruits are chosen it is not placed back in the bag. This process is called sampling without replacement.

At the beginning there are 40 fruits in the basket.
Let's take O ={orange fruit}, n(O) = 13 , A = {apple fruit}, n(A) = 12 and B={banana fruit}, n(B) = 15
Total number of fruits n(S) = 40
This problem can be shown in a probability tree diagram.

P[getting a banana & apple] = BA + AB

Hence the probability of getting a banana and apple is 3/13


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