Answer:
4
Step-by-step explanation:
Answer:
(a) 0.0833 or 8.33%
(b) 0.40 or 40%
Step-by-step explanation:
Parts line one (n1) = 1,000 parts
Defects line one (d1) = 100 parts
Parts line two (n2) = 2,000 parts
Defects line two (d2) = 150 parts
Total number of parts (n) = 3,000 parts
a. Probability of a randomly selected part being defective:
![P(d) = \frac{d_1+d_2}{n_1+n_2}=\frac{100+150}{1,000+2,000}\\P(d) =0.0833=8.33\%](https://tex.z-dn.net/?f=P%28d%29%20%3D%20%5Cfrac%7Bd_1%2Bd_2%7D%7Bn_1%2Bn_2%7D%3D%5Cfrac%7B100%2B150%7D%7B1%2C000%2B2%2C000%7D%5C%5CP%28d%29%20%3D0.0833%3D8.33%5C%25)
The probability is 0.0833 or 8.33%
b. Probability of a part being produced by line one, given that it is defective:
![P(1|d)=\frac{P(1\cap d)}{P(1\cap d)+P(2\cap d)}\\P(1|d)=\frac{\frac{100}{3,000} }{\frac{100}{3,000}+\frac{150}{3,000}}\\P(1|d)=0.4 = 40\%](https://tex.z-dn.net/?f=P%281%7Cd%29%3D%5Cfrac%7BP%281%5Ccap%20d%29%7D%7BP%281%5Ccap%20d%29%2BP%282%5Ccap%20d%29%7D%5C%5CP%281%7Cd%29%3D%5Cfrac%7B%5Cfrac%7B100%7D%7B3%2C000%7D%20%7D%7B%5Cfrac%7B100%7D%7B3%2C000%7D%2B%5Cfrac%7B150%7D%7B3%2C000%7D%7D%5C%5CP%281%7Cd%29%3D0.4%20%3D%2040%5C%25)
The probability is 0.40 or 40%.
Answer:
Total need of salt = 5/3 tsp or 1.67 tsp (approx)
Step-by-step explanation:
Given:
Total number of cake = 5 cakes
Each cake need = 1/3 tsp
Find:
Total need of salt
Computation:
Total need of salt = Total number of cake x Each cake need
Total need of salt = 5 x (1/3)
Total need of salt = 5/3 tsp
Total need of salt = 5/3 tsp or 1.67 tsp (approx)