The basal diameter of a sea anemone is an indicator of its age, and in a certain population of anemones, the distribution of basal diameters is approximately normal with a mean of 5.3 cm and a standard deviation of 1.8 cm. suppose you randomly select five anemones from this population. a. what is the probability that all five anemones have a basal diameter more than 5.5 cm? (2pt)

Step-by-step explanation:

Let X be the basal diameter of a sea anemone.

Given that X is N(5.3, 1.8)

Sample size =5

We have to find the prob that all five anemones have a basal diameter more than 5.5 cm

Prob (for one anemone >5.5 cm) =

Since each anemone selected is independent of the other anemone, the selected anemones follow Binomial with n =5 and p = 0.2485 and q=0.7515

P(X=5) = 1-P(X=0) = 1-0.7515^5

=0.7603

Note that 5 elements selected cannot be taken as normal since sample size is small.

No of anemones selected having a basal diameter more than 5.5 cm is

binomial with n=5 and p = 0.2585

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

d

gimmee one of those gold crowns!

~coco