Question

Statistics, 9e STATISTICS (MAT 127 tice Assignment Gradebook ORION Downloadable eTextbook ment BACK Chapter 06, Section 6.3, Problem 027a A construction zone on a highway has a posted speed limit of 35 miles per hour. The speeds of vehicles passing through this construction zone are normally distnbuted with a mean of 29.06 mles per hour and a standard devilation of 3 miles per hour. Find the percentage of vehicles passing through this construction zone that are exceeding the posted speed limt. Round your answer to two decimal places. The percentage is the tolerance is +/-2% Qpen Show Work Click If you would like to Show Work for this question:

Answer 1

Answer 1): X~ N(u : 29.06,0 3) We have given: he percentage of vehicles passing this construction zone that are exceeding the posted speed limit 35 mile per hours is, rix2, 35) = 1-P(X s 35-1-P("-35-29.06) P(X > 35)-1-P(Xs35)-1-P(-0-,-S 5.94 1 (25 31P2 1.98) - 1-0.97615-0.02385 . P(x> 35) 0.0239 The percentage is 02.39 %

Answer 2): We have given: X~ N(u = 80, σ = 30.30) and if the management decides to give free gifts to all those customers who spend morethan $110 at this supermarket during a visit. The percentage of the customers are expected to get free gift is, P(X > 110) = 1-PC's110)-1-PAzs-10 x-μ/ 110-80 30.30 1(3030)-1-PZ - 0:901) 30.30 - 1 +0.83894- 0.16106 ,', P(X > 110) = 0. 1611 16.11 % ofthe customers are expected to get free gifts.