Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is
Where 
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is
Answer:
Answer: D. Q(5, −6) and R(−5, 6)
Step-by-step explanation:
Answer:
Alex is 2 1/4 inches longer than Maddy
Step-by-step explanation:
Alex is longer than Maddy
20 3/4 - 18 1/2
Get a common denominator
20 3/4 - 18 2/4
2 1/4
Alex is 2 1/4 inches longer than Maddy
Maddy is -2 1/4 inches longer than Alex
Complete question :
Birth Month Frequency
January-March 67
April-June 56
July-September 30
October-December 37
Answer:
Yes, There is significant evidence to conclude that hockey players' birthdates are not uniformly distributed throughout the year.
Step-by-step explanation:
Observed value, O
Mean value, E
The test statistic :
χ² = (O - E)² / E
E = Σx / n = (67+56+30+37)/4 = 47.5
χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295
Degree of freedom = (Number of categories - 1) = 4 - 1 = 3
Using the Pvalue from Chisquare calculator :
χ² (18.295 ; df = 3) = 0.00038
Since the obtained Pvalue is so small ;
P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey players' birthdates are not uniformly distributed throughout the year.
Answer:
A. Cube A
Given:
Cube A volume = 5832 in³
For Cube B dimension in inches:
So Volume of Cube B:
L × B × H = 14.4 × 12 × 12 = 2073.6 in³
Cube A has a larger volume that Cube B.
