Answer:
Step-by-step explanation:
<u>Step 1</u>:-
Suppose that E and F are two events and that P(E n F) = 0.3
also given P(E) =0.5
<u>Conditional probability</u>:-
if E₁ and E₂ are two events in a Sample S and P(E₁)≠ 0, then the probability of E₂ , after the event E₁ has occurred, is called the <u>Conditional probability</u>
of the event E₂ given E₁ and is denoted by
Answer:
Solution (7,1)
Step-by-step explanation:
Use the elimination method
x + y=8
x - y=6
--------------Add
2x = 14
x = 7
Substitute x = 7 into x + y=8
7 + y=8
y = 8 - 7
y = 1
Solution (7,1)
Answer:
y=7
Step-by-step explanation:
Assuming that the equation is 14-2y=0
We need to isolate 'y' variable to obtain its value, to do that, lets start by subtracting -14 to both sides of equality sign,
14-2y=0 is now this: 14-14-2y=0-14, which is equals to -2y=-14
Now, lets continue by dividing by -2 both sides of equality sign.
We have this
-2y/-2=-14/-2
y=7
Thus, we've obtained the value for 'y' variable
The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>
The missing part of the question is;
The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.
Calculate P(6)
- This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾
Where;
p is probability of success
q is probability of failure
n is number of experiments
In this question;
n = 10
p = 75% = 0.75
q = 1 - p
q = 1 - 0.75
q = 0.25
Since six passengers are randomly selected, then applying the formula earlier quoted, we have;
P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾
P(6) = 0.146
Read more at; brainly.com/question/24239758
