Question

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is

correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survives to adulthood.

What is the probability that MORE THHAN 4 elk in the sample will survive to adulthood?

0.8598p

0.3706

0.1402

0.6294

INCORRECT 0.2304.

Answer 1

The probability that fewer than 3 baby elk survive to adulthood is 0.3362 or 33.62.

To find the probability that fewer than 3 baby elk survive to adulthood, we need to sum the probabilities for X = 0, X = 1, and X = 2.

P(X<3)=P(X=0)+P(X=1)+P(X=2)

From the given probability distribution:

P(X=0)=0.0173

P(X=1)=0.0950

P(X=2)=0.2239

Now, summing these probabilities:

P(X<3)=0.0173+0.0950+0.2239

P(X<3)=0.3362

Therefore, the probability that fewer than 3 baby elk survive to adulthood is 0.3362 or 33.62.

This means that, based on the given estimate, there is about a 33.62% chance that fewer than 3 out of 7 randomly selected baby elk will survive to adulthood.