Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
Answer:
(a) Probability = 0.01520
(b) Probability = 0.00028
(c) Probability = 0.96391
Step-by-step explanation:
Total mitochondria = 330
Defective = 6
(a) Without replacement, if the first selection contains a defective mitochondria, we have a total of 5 defective remaining from a total of 329 mitochondria. Thus the probability the second one is defective Given the first one was defective will be :
Probability second is defective given the first one is not = 5 / 329 = 0.01520
(b) The probability the first is defective is : 6 / 330 = 0.01818
The probability the second is defective (without replacement) = 5 / 329 = 0.01520
The probability both are defective = 0.01818 * 0.01520 = 0.00028
(c) Probability the first one is acceptable = 324 / 330 = 0.98182
Probability the second one is acceptable = 323 / 329 = 0.98176
Probability both are acceptable = 0.98182 * 0.98176 = 0.96391
Answer:
x = 29
Step-by-step explanation:
Answer:
-0.5 and negative one-half
-1/50 and -0.02
Step-by-step explanation:
-0.5 can be rewritten as -5/10. This can be simplified to -1/2 which is the same as negative one-half.
7/10 isn't equivalent to 11/20. If you multiply 7/10 by 2/2 to get the denominator of 20, it will become 14/20 not 11/20.
-1/50 in decimal form is -0.02 so -1/50 and -0.02 are equivalent.
0.15 and 1/5 aren't equivalent because 1/5 in decimal form is is 0.2, not 0.15.
Answer:
first option is right
Step-by-step explanation:
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