Suppose that a survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax. Suppose that 40% of all adults in Ohio support the increase. We independently select 7 adults at random and record their status in supporting the increase. What is the probability that exactly 4 people support the increase in tax?

a. 0.2419
d. 0.4838
b. 0.5162
c. 0.1935

Option D) 0.1935

Step-by-step explanation:

We are given the following information:

We treat adults in Ohio support the increase as a success.

P(Adults in Ohio support the increase) = 40% = 0.4

Then the number of adults follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 7

P(exactly 4 people support the increase in tax)

0.1935 is the probability that exactly 4 out of 7 adults in Ohio suppert the increase.

Thus, the correct answer is

Option D) 0.1935

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6