4. What is the probability that a random variable with a normal distribution wil

Question

4. What is the probability that a random variable with a normal distribution will be within 1.5 standard deviations of its mean? [0.2,0.3) [0.3,0.4) [0.4,0.5) [0.5,0.6) [0.6,0.7) [0.7,0.8) [0.8,0.9) Tries 0/3 MTB> set c1 DATA-3:3/0.5 DATA end MTB cdf c c2; SUBC > norma 0 1 MTB print cl ROWC1 C2 3.0 0.001350 -2.5 0.006210 2.00.022750 -1.5 0.066807 1.00.158655 -0.5 0.308538 0.0 0.500000 0.5 0.691462 1.0 0.841345 1.5 0.933193 2.00.977250 2.5 0.993790 3.0 0.998650 0007580253000 5150530649595 3278650431276 2 C01 0000135689999 cat 23456789 1234567890123

Explanation / Answer

P(-1.5<Z<1.5)

Use given information

= 0.933193-0.066807

= 0.866386

So, answer is 0.866386

Use excel function

NORMSDIST(1.5)-NORMSDIST(-1.5)

=

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