Since the order matters, it's a permutation of 7 letters, but mind you in
MOROCCO. you have 3 O's and 2 C's, Hence the arrangements are:
⁷P₇ /(3!2!) = 7!/(3!2!) = 5040/(3!2!) = 420 arrangements
Answer:
C
Step-by-step explanation:
Answer: d) 2730
<u>Step-by-step explanation:</u>
1st movie and 2nd movie and 3rd movie
15 videos × 14 remaining videos × 13 remaining videos = 2730
Answer:
Quotient is 75 Remainder is 49
Step-by-step explanation:
Answer:
a) 
b) 
Step-by-step explanation:
The proportion of defective gadgets for this factory is p=0.2.
If a sample of n=100 gadgets is taken from the production, we can model the amount of defectives gadgets in this sample as a binomial random variable.
The probability of having k defectives in the sample can be written as:

Then, we can write the expression to calculate the probabilities of A: "less than 15 gadgets are mildly defective":

If we approximate this binomial distribtution to a normal distribution, we can calculate the new parameters as:

The continuity factor is applied for the change from a discrete distribution (binomial) to a continous distribution (normal). Then we have:

Now, we can calculate the probability P(A):
