the probability distribution histogram shows the age distribution of giraffes at a zoo. what is $p(4 < x leq…
the probability distribution histogram shows the age distribution of giraffes at a zoo. what is $p(4 < x leq 20)$? enter your answer, as a decimal, in the box.
Answer
Explanation:
Step1: Identify relevant intervals
We want $P(4 < X\leq20)$. The relevant intervals are $>4 - 8$, $>8 - 12$, $>12 - 16$, $>16 - 20$.
Step2: Read probabilities from histogram
From the histogram, the probability for $>4 - 8$ is $0.1$, for $>8 - 12$ is $0.35$, for $>12 - 16$ is $0$, for $>16 - 20$ is $0.05$.
Step3: Sum probabilities
$P(4 < X\leq20)=0.1 + 0.35+0 + 0.05$. $P(4 < X\leq20)=0.5$
Answer:
$0.5$