Answer:
0.0143
Step-by-step explanation:
In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.
We proceed as follows;
The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155
Let’s call this probability p
The probability that he/she isn’t on the flight, let’s call this q
q =1 - p= 0.845
Sample size, n = 155
P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = np
= 125 x 0.155
= 19.375
Standard deviation = √npq
= √ (125 x 0.155x 0.845)
= 4.0462
P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)
= P(Z < (10.5 - 19.375)/4.0462)
= P(Z < -2.19)
= 0.0143
Answer:
D. 2/17
Step-by-step explanation:
Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.
Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.
Answer:
or 
Step-by-step explanation:
The given absolute value inequality is 
Divide both sides of the inequality by -2 and reverse the inequality sign:
By the definition of the absolute value function;
Either or 
Divide through the rightmost inequality by -1 and reverse the sign.
This implies that:
or
