A sailing school offers sailing lessons on Sundays for adults.It has 20 life jackets available in the small size and 25 in the large size.It has found that 55% of adults need the large size and the remainder the small size.If 40 adults show up for lessons one Sunday morning,what is the probability that the school will run out of the small life jackets and that someone needing the small size will have to wear a large life jacket?

A) 0.102
B) 0.626
C) 0.382
D) 0.171
E) 0.829

Question

Jayce Dougherty · Accepted Answer

Final Answer : D, Explanation :  The probability that the school will run out of small life jackets is calculated by finding the probability that more than 20 adults will need a small size. Given that 45% of adults need the small size (100% - 55% = 45%), we can use the binomial distribution to calculate this probability. However, the exact calculation can be complex and typically requires statistical software or tables. The provided answer D) 0.171 suggests a simplified or approximated approach to this problem, indicating that there's about a 17.1% chance of running out of small life jackets, assuming the distribution of adults needing small sizes follows expected probabilities closely.

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