The urchins, starved from 48 hours were fed 5-cm. blades of green turtle grass.
ID: 3173325 • Letter: T
Question
The urchins, starved from 48 hours were fed 5-cm. blades of green turtle grass. The mean ingestion time was found to be 2.75 hours and the variance was 0.85 hours. Find the probability that an urchin will require 5 or more hours to ingest a 5-cm. blade of green turtle grass. Find the probability that an urchin will require between 2 and 4 hours to ingest a 5-cm blade of green turtle grass. The probability that a certain type of transformer fails in the first 10 years of operation is 0.06. If we observe 250 such transformers, what is the probability that at most 25 transformers will fail in the first 10 years?Explanation / Answer
1. Here mean=2.75 and sd=0.92
a. P(x>=3)=P(z>=0.27)=0.3936
b. P(2<x<4)=P(-0.82<z<1.36)=0.707
2. This is binomial distribution with p=0.06 and n=250
P(x<=25)=0.9952
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