Question

Please Answer a-d

Question Help In the last quarter of 2007, a group of 64 mutual funds had a mean return of 2.5% with a standard deviation of 4.1%. If a normal model can be used to model them, what percent of the funds would you expect to be in each region? Use the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first. a) Returns of 14.8% or more c) Returns between - 1.6% and 6.6% b) Returns of 2.5% or less d) Returns of more than 10.7% %. a) The expected percentage of returns that are 14.8% or more is (Type an integer or a decimal.) %. b) The expected percentage of returns that are 2.5% or less is (Type an integer or a decimal.) %. c) The expected percentage of returns that are between - 1.6% and 6.6% is (Type an integer or a decimal.) %. d) The expected percentage of returns that are 10.7% or more is (Type an integer or a decimal.)

Answer 1

a)

probability =

P(X>14.8)

=

P(Z>3)=

0.15 %

b)

probability =

P(X<2.5)

=

P(Z<0)=

50.0 %

c)

probability =

P(-1.6<X<6.6)

=

P(-1<Z<1)=

68 %

d)

probability =

P(X>10.7)

=

P(Z>2)=

2.5 %