Events a and b are independent, suppose event a occurs with probability 0.95 and event e occurs with probability 0.93.
a compute the probability that neither the event a nor to event b occurs.
b compute the probability that either b occurring a and b both occur.

a) 0.0035

b) 0.93

Step-by-step explanation:

P(A) = 0.95

P(E) = 0.93

Now,

P(A∩E) = P(A) × P(E) = 0.95 × 0.93

or

P(A∩E) = 0.8835

P(A∪E) = P(A) + P(E) - P(A∩E)

or

P(A∪E) = 0.95 + 0.93 - 0.8835

or

P(A∪E) = 0.9965

Therefore,

a) probability that neither the event A nor to event B occurs

P(A'∩E') = 1 - P(A∪E)

or

P(A'∩E') = 1 - 0.9965 = 0.0035

b)  probability that either B occurring A and B both occur

P((A'∩B) ∪ (A∩E)) = P(B) = 0.93

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

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.