Answer:
The probability is;
0.0000003645
Step-by-step explanation:
The probability of packages being early p is 90% = 0.9
The probability of packages being late q will be 1-p = 1-0.9 = 0.1
So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem
That will be;
P(X = 2) = 10 C 2 0.9^2 0.1^8
= 0.0000003645
Answer:
59/8 or 7 3/8
Step-by-step explanation:
make improper fractions, then multiply 1st one by to make denominator equal then subtract
Answer: P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
Step-by-step explanation:
Given;
The quarterback's pass accuracy P= 29% = 0.29
The probability of not completing a particular pass P*
= 1 - 0.29 = 0.71
the probability that it takes more than 12 attempts before he completes a pass implies that the quarterback will not complete his first 12 pass attempts.
The probability that he will not complete the first 12 pass
P12* = (P*)^12
P12* = (0.71) ^12
P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
Answer:
x=12
Step-by-step explanation:
63+8x-17+3x+2=180
48+11x=180
11x=132
132/11=12
