Suppose that past history shows that 60% of college students prefer brand c cola. a sample of 5 students is to be selected. based on the binomial probability distribution, the probability that less than 2 prefer brand c is ________.

Question

13-04-2018
Mathematics

contestada

Suppose that past history shows that 60% of college students prefer brand c cola. a sample of 5 students is to be selected. based on the binomial probability distribution, the probability that less than 2 prefer brand c is ________.

Respuesta :

Otras preguntas

What is the process within a genetic algorithm of randomly trying combinations and evaluating the success (or failure) of the outcome?

Someone please help.

THE RIGHT ANSWER WILL RECIEVE A BRAINLEST AND POINTS!!! Introduction about wasting water at least 50 - 100 words like for example : did u think of water or some

Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

What were allan bakke's arguments against the use of affirmative action? describe how the supreme court decided the bakke case. (hint—you should have this answe

If an 8-foot ladder is leaned against a wall with its foot braced 4 feet from the wall's base, how far up the wall will the top of the ladder reach? round to th

Terms: • california admitted as a ___________ • slave trade banned in ______________ • ___________________ would decide slavery in the rest of the mexican cessi

Which equation represents the first electron affinity of chlorine? a. cl(g) + e- → cl - (g) b. 1 2 cl2 (g) + e- → cl - (g) c. cl + (g) + e- → cl(g) d. cl(g) → c

yo no ______ a casa esta tarde. (Lesson 10, Unit 3) A. pondre B. querre C. vendre D. dire

Which one of the following sentences uses colons incorrectly? A. The recipe called for a rare ingredient: truffles. B. I can think of something better to do

MsEHolt MsEHolt · Answer 1 · 2018-04-23T01:15:15+02:00

The probability is 8.7%.

To find P(X<2), we find P(X = 1 or X = 0). For a binomial distribution, we use the formula
[tex]_nC_r(p)^r(1-p)^{n-r}[/tex]

For this problem, p=0.6 and n=5:
[tex]_5C_1(0.6)^1(1-0.6)^4+_5C_0(0.6)^0(1-0.6)^5 \\ \\_5C_1(0.6)(0.4)^4+_5C_0(0.4)^5 \\ \\ \frac{5!}{1!4!}(0.6)(0.4)^4+\frac{5!}{0!5!}(0.4)^5 \\ \\ 5(0.6)(0.4)^4+(0.4)^5 \\ \\0.0768+0.01024 = 0.08704\approx0.087=8.7%[/tex]