Forty-five percent of households say they would feel secure if they had​ $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had​ $50,000 in savings. Find the probability that the number that say they would feel secure is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.

0.172 ; 0.0884 ; 0.9115

Step-by-step explanation:

Proportion or those who feel secure, p = 0.45

Sample size, n = 8

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

A.) p(x = 5)

P(x =5) = 8C5 * 0.45^5 * 0.55^3

P(x = 5) = 56 * 0.0184528125 * 0.166375

P(x = 5) = 0.1719248540625

P(x = 5) = 0.172

B.) P(x > 5)

P(x > 5) = P(x = 6) + P(x = 7) + P(x = 8)

P(x > 5) = 0.0703 + 0.0164 + 0.0017

P(x > 5) = 0.0884

C.) P( ≤ 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

Using the binomial probability calculator to obtain a direct solution :

P( ≤ 5) = 0.9115

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.