The annual ground coffee expenditures for households a a. Find the probability t

Question

The annual ground coffee expenditures for households a a. Find the probability that a household spent less than $20.00 b. Find the probability that a household spent more than $55.00 C. What proportion of the d, 99% of the households spent less than what amount? spent between $25.00 and $35.00 spent less than $20.00 is Round to four decimal places as needed.) b. The probability that a household spent more than $55 00 is (Round to four decimal places as needed) c. The proportion of the households that spent between $25.00 and $35 00 is Round to four decimai places as needed.) a 99% of the households spent less than sü Round to the nearest cent as needed) in each of the answer baxes earch

Explanation / Answer

X ~ N(48.36,132)

a) P[X<20] = P[(X-mean)/S.D <(20-48.36)/13]

=P[Z<-2.18], Z~N(0,1)

=0.0146

b)P[X>55] = P[(X-mean)/S.D > (55-48.36)/13]

=P[Z>0.51]

=0.305

c) P[25<X<35]

= P[(25-48.36)/13 < (X-mean)/S.D < (35-48.36)/13]

=P[-1.797 < Z < -1.028]

= 0.9388

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