When individuals in a sample of 150 were asked whether or notthey supported capital punishment, the following information wasobtained.
doyousupport numberof
capitalpunishment? individuals
yes 40
no 60
no opinion 50
we are interested in determining whether or not the opinionsof the individuals (as to yes, no and no opinion) are uniformlydistributed.
the expected frequency for each group is?
a. 0.333
b. 0.50
c. 1/3
d. 50

They are not uniformly distributed.

The expected frequency of each group is 50

Step-by-step explanation:

In probability distributions, uniform distribution refers to a probability distribution for which all of the values that a random variable can take on occur with equal probability.

In other words, for n number of events, the probability of occurrence 1,2,3,4n is 1/n

There are 3 possible occurrence in the question above

1. Yes

2. No

3. No Opinion.

For the above events to have a uniform distribution, then they must have a probability of ⅓ each.

The expected frequency of each would then be ⅓ of n where n = 150

⅓ of 150 = 50

step-by-step explanation:

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.