Lets say scores on an emotional intelligence test are normally distributed with a mean equal to 110.7 and a standard deviation equal to 24.5. The question asks: Above which value fall 50 percent of scores. PLEASE SHOW STEP BY STEP !!!

The percentage of fall 50 percent of scores is 0.68

Step-by-step explanation:

Explanation:-

Given mean of the population = 110.7

standard deviation of the Population = 24.5

Let 'X' be the random variable in normal distribution

Given X = 50

   Now  

The probability that fall 50 percent of scores.

P( X < 50) = P( Z < -2.477)

                = 1- P(Z>2.477)

               = 1 - (0.5 + A(2.477)

              = 0.5 - A(2.477)

             = 0.5 - 0.4932

            = 0.0068  

The percentage of fall 50 percent of scores is 0.68

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

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step-by-step explanation: