Answer:
34x+78x
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that there are 3 boxes. First box contains 100 components of which 20 % are defective, second box contains 200 components of which 25 % are defective, third box contains 300 components of which 40 % are defective.
Box is selected randomly and from this box one component is selected randomly. The chosen component turned out to be defective.
Here A1, A2 and A3 events from drawing I, II and III box are mutually exclusive and exhaustive
B = The drawn ball is defective
Required probability
a) second box = P(A2/B)
=
(by Bayes theorem of conditional probability)
= 
b) third box = P(A3/B)
=
Answer:
150 cm²
Step-by-step explanation:
Since the room is square, assuming that it is a cube, the area will be 6s², where s is the side length.
Given a side length of 5cm, the area is
6(5)² = 6cm × 25cm = 150cm²
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81