Answer:
P(X ≤ 3) = 0.9933.
Step-by-step explanation:
We are given that the random variable X has a binomial distribution with the given probability of obtaining a success
Also, given n = 5, p =0.2.
The above situation can be represented through binomial distribution;
where, n = number of samples (trials) taken = 5
r = number of success = less than equal to 3
p = probability of success which in our question is 0.20.
Let X = <u><em>A random variable </em></u>
So, X ~ Binom(n = 5, p = 0.20)
Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 
= 
= <u>0.9933</u>
Okay so first figure out what 2.4 times 10 with the power of negative 3 is.
2.4 times 10 is 24 and 24 to the power of 3 is 13,824
so an addition problem could be 5,986+7,838= 13,824
then you could do for a subtraction problem 23,789- 9,965 = 13,824
I hope this helped you. (;
Answer:
(a) 1/4
(b) answer in explanation
Step-by-step explanation:
In this question, we are told that we have a spinner and the spinner has 12 equal sized sections with three of the sections purple in color. We are now asked to calculate the probability of the spinner landing on the color purple.
Checking, we can see that this is a probability question. The spinner has the options of stopping at 12 different positions but amongst these 12 positions, 3 of the positions are painted purple. We now need to know the probability of the spinner landing on purple.
To get the probability of this, what we simply do is to divide the number of purple options by the total number of outcomes we have. The number of purple options is 3 while the total outcome we have is 12. The probability is thus P(of purple is) = 3/12 = 1/4
(b) we are asked to use words to describe the probability
From the probability in the question, what we can see is that if the spinner is spinner 4 different times, there is a chance that 1 out of all the chances will produce a result where we have the spinner landing on one of the purple color section.
What this actually means is that there is a 25% chance within every spin for the spin to land in the purple color section of the spinner
Answer:16
Step-by-step explanation:
Let the number be X
Twice the sum of a number and 5
= 2X+5
Three times the difference of the number and 2
= 3(X - 2)
Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means
2(X + 5 )= 3(X - 2)
2X +10 = 3X - 6
3X -2X = 10 + 6 = 16
X = 16
Check
2×(16+5) =3×(16-2)
2×21 = 3×14
42 = 42
