There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is<u><em> binomial probability distribution.</em></u>
1- 5 ways
2- 5/16
3- 1/16
4- 1/16
In the question given above n= 5 p =1/2 q= 1/2 r is the given point.
- <u>Part 1:</u>
The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore
nCr= 5C4= 5 ways
<u>2. Part 2:</u>
The probability that all four people get off the bus on the first stop is given by :
P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16
<u>3. Part 3:-</u> The probability that all four people get off the bus on the same stop.
P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16
<u>4. Part 4-</u> The probability that <u><em>exactly three of the four</em></u> people get off the bus on the same stop.
P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16
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Answer:
x = 54
Step-by-step explanation:
These angles are complementary because they add up to 90:
x - 7 + 43 = 90
x + 36 = 90
x = 90 - 36
x = 54
Answer:
Budget= $1,100
Step-by-step explanation:
Giving the following information:
They spent $737 on equipment and 33% of the total budget on costumes.
<u>If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).</u>
<u></u>
Then, to calculate the total budget, we need to use the following formula:
Budget= 737 / 0.67
Budget= $1,100