A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}. for i=1, 2, 3, and suppose that P(A1)=.22, P(A2)=.25, P(A3)=.28, P(A1 and A2)=.11, P(A1andA3)=.05, P(A2 and A3)=.07, P(A1 and A2 and A3)=.01. Compute the probability of each event: a) A 1or A2 b) A1c and A2c c) A1 or A2 or A3 d) A1c and A2c and A3c e) A1c and A2c and A3 f) (A1c and A2c) or A3

(a) 0.36

(b) 0.64

(c) 0.53

(d) 0.47

(e) 0.17

(f) 0.77

Step-by-step explanation:

(a)

Compute the value of P (A₁ ∪ A₂) as follows:

Thus, the value of P (A₁ ∪ A₂) is 0.36.

(b)

Compute the value of P (A₁' ∩ A₂') as follows:

Thus, the value of P (A₁' ∩ A₂') is 0.64.

(c)

Compute the value of P (A₁ ∪ A₂ ∪ A₃) as follows:

Thus, the value of P (A₁ ∪ A₂ ∪ A₃) is 0.53.

(d)

Compute the value of P (A₁' ∩ A₂' ∩ A'₃) as follows:

Thus, the value of P (A₁' ∩ A₂' ∩ A'₃) is 0.47.

(e)

Compute the value of P (A₁' ∩ A₂' ∩ A₃) as follows:

Thus, the value of P (A₁' ∩ A₂' ∩ A₃) is 0.17.

(f)

Compute the value of P ((A₁' ∩ A₂') ∪ A₃) as follows:

Thus, the value of P ((A₁' ∩ A₂') ∪ A₃) is 0.77.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)