Find the z-scores (two of them) that separate the middle 48% of the distribution from the area in the tails of the standard normal distribution.

The  z-scores are   and  

Step-by-step explanation:

From the question we are told that

    The  middle of the distribution area considered is  48%

Now the rest of the area under the standard normal distribution area is  mathematically evaluated

Now to obtain the area occupied by this proportion at the two tails we divide by 2 i.e

Now the z-score is obtained from the normal distribution table and the value is

The shows that we are considering the two-talil

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

98%

step-by-step explanation: