When he was little, Miguel could not sleep without his Captain Terrific action figure. It looked so life-like because it was a p
2 answers:
The actor's neck is 20.08 cm long.
Step-by-step explanation:
The actor who plays Captain Terrific on television is 216 cm tall. Miguel’s doll is 10 cm tall.
Miguel’s doll is 10 cm tall and the doll’s neck is 0.93 cm long.
Let the doll's actor's neck be x cm
We can relate these as follows:
Solving for x now;
=>
x = 20.08
Hence, the actor's neck is 20.08 cm long.
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Answer:
a)
b) 0.154% probability that there are at least 4 defective welders in the sample
Step-by-step explanation:
The welders are chosen without replacement, so the hypergeometric distribution is used.
The probability of x sucesses is given by the following formula:
In which
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
100 welders, so
Sample of 15, so
In total, 5 defective, so
(a) Determine the PMF of the number of defective welders in your sample?
There are 5 defective, so this is P(X = 0) to P(X = 5). Then
(b) Determine the probability that there are at least 4 defective welders in the sample?
0.154% probability that there are at least 4 defective welders in the sample