Answer:
And we can find the individual probabilities like this:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
For this case we want this probability:
Since one fourth of the total number 12 is 12/4 =3
We can find this probability using the complement rule:
And we can find the individual probabilities like this:
And replacing we got:
The answer is x = 3 or x = -8.
Let's solve your equation step by step.
Step 1 - Factor left side of equation
(x - 3)(x + 8)=0
Step 2 - Set factors equal to 0.
x - 3 = 0 or x + 8 = 0
x = 3 or x = -8
You can't factor out c or d since we don't know what they are so you have to find an integer. both are divisible by 5, which would become 5(9c+2d). 9 and 2 don't have anything in common so that is it.
45c+10d = 5(9c+2d)
Answer:
0.0036
Step-by-step explanation:
Given that :
Proportion of population that are math phobic = 6% = 6/100 = 0.06
P(math phobic) = 0.06
If two selections are made ; probability that both are math phobic ;
P1 = selection 1 = 0.06
P2 = selection 2 = 0.06
Probability that both are math phobic :
P1 * P2 = (0.06 * 0.06) = 0.0036