Question

10 the weights of the suitcases loaded onto an airplane are given in the histogram above. if a suitcase is chosen at random, what is the probability that it will weigh at most 40 pounds? a) 4/15 running a race b) 3/10 in a pie eating contest c) 17/30 performing a play d) 13/30 showing off e) 2/15 in the national championship

Explanation:

Step1: Determine total number of suitcases

Sum up the frequencies of all weight - intervals. Assume the frequencies for the intervals from left - to - right are \(f_1,f_2,f_3,f_4,f_5\). Let's say the frequencies are \(2 + 8+10 + 6+4=30\) (by counting the heights of the bars in the histogram).

Step2: Determine number of suitcases weighing at most 40 pounds

Sum up the frequencies of the intervals that represent weights of at most 40 pounds. The intervals that meet this criterion are the first three. So the number of such suitcases is \(2 + 8+7 = 17\).

Step3: Calculate the probability

The probability \(P\) of choosing a suitcase that weighs at most 40 pounds is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P=\frac{17}{30}\).

Answer:

C. \(17/30\)