Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.
For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 5 nickels, hence
.
- They are equally as likely to land on heads or tails, hence
The probability that all the nickels will land with heads facing up is P(X = 5), hence:
0.03125 = 3.125% probability that all the nickels will land with heads facing up.
A similar problem is given at brainly.com/question/24863377
Answer:
$0.13 to produce each box.
Step-by-step explanation:
S= ph+2b
p= 12.5+2.5+12.5+2.5=30
h=25
b= 12.5x2.5=31.25
S= (30)(25) +2 (31.25)
S= 
812.5 x 0.00016= 0.13
Answer: a) 6
<u>Step-by-step explanation:</u>
The mean is 375 which has a z-score of 0.
The standard deviation is 24 so:
- z-score of 1 is: 375 + 24 = 399
- z-score of 2 is: 399 + 24 = 423
- z-score of 3 is: 423 + 24 = 477
A z-score of 3 is 99.85% from the left <em>(or 1 - 99.85% from the right = 0.15%)</em>
Since we are looking for the "more than" a z-score of 3, it is 0.15% of the total.
4000
<u>× 0.0015</u>
6.0000
The probability is 60% that you will get the same colour twice because one colour has more marbles that the other coloured marble.
50 sqft = 45 min
495 sqft = x min
495/50 is 9.9. So we know we multiplied 50 by 9.9 to change it to 495.
Do the same on the other side. 45 x 9.9 = 445.5.
It will take him 445.5 minutes, or 7.425 hours
