Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is
![f(k,n,p)=\binom{n}{k}p^kq^{n-k}](https://tex.z-dn.net/?f=f%28k%2Cn%2Cp%29%3D%5Cbinom%7Bn%7D%7Bk%7Dp%5Ekq%5E%7Bn-k%7D)
Where ![q = 1-p](https://tex.z-dn.net/?f=q%20%3D%201-p)
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula
![f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782](https://tex.z-dn.net/?f=f%281%2C50%2C0.0017%29%3D%5Cbinom%7B50%7D%7B1%7D0.0017%5E10.9983%5E%7B49%7D%3D0%2C0782)
Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
Answer:
weight
Step-by-step explanation:
The weight depends on the chicken
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
Answer:
The mean amount spent = £14.80
The modal product is hoodies.
Step-by-step explanation:
Here
25 T shirts each costing £10 were purchased
Amount spent on T shirts = 25 × 10 = £250
30 key ring of £5 were purchased
Amount spent on key ring = 30 × 5 = £150
40 Hoodies for £25 each
Amount spent on Hoodies = 40 × 25 =£1000
30 CD's for £15 each
Amount spent on CD's = 30 ×15 = £450
Total amount spent = 250 +150 + 1000 + 450 = £1850
Total items purchased = 25 + 30 + 40 + 30 = 125
Mean amount spent = ![\frac{1850}{125}= 14.80](https://tex.z-dn.net/?f=%5Cfrac%7B1850%7D%7B125%7D%3D%2014.80)
The modal product is Hoodies as the maximum number of hoodies were purchased.