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Answer:
1.
P(E1)=P(E2)=P(E3)=P(E4)=P(E5= )1/5
2.
P(E1)=0.4
P(E2)= 0.26
P(E3)=0.34
3.
No the probability assignments are invalid
Step-by-step explanation:
1
Total number of possible outcomes = 5
<u>Equation (4.3)</u>
0< P(Ei)<1
<u>Equation (4.4)</u>
P(E1) + P(E2) +........+P(En)=1
As the outcomes are equally likely therefore,
Probability for each outcome= P(Ei) = 1/5
2
Total number of outcomes = 50
Outcomes for event E(1)= 20
Outcomes or event E(2)= 13
Outcomes or event E(3) = 17
P(Ei)= (number of outcomes for event Ei/ Total number of outcomes)
P(E1)=20/50=0.4
P(E2)= 13/50=0.26
P(E3)=17/50=0.34
3
P(E1) .10,
P(E2) .15,
P(E3) .40,
P(E4) .20
0.1 +0.15+0.40+0.20=0.85<1
According to equation (4.4) the probability assignments are invalid as the sum of probabilities for all outcomes must be equal to 1.
Answer:
900 = 2 * 2 * 3 * 3 * 5 * 5 = 2^2 * 3^2 * 5^2
Step-by-step explanation:
900/2 = 450
450/2 = 225
225/3 = 75
75/3 = 25
25/5 = 5
5/5 = 1
900 = 2 * 2 * 3 * 3 * 5 * 5 = 2^2 * 3^2 * 5^2
The odds in favour of harry getting a hit:
based on past baseball batting record. the probability of harry will get a hit during the next time at bat be 3/10.
You’ve seen that the probability of an event is defined as a ratio that compares the favorable out comes to the total outcomes. We can write this ratio in fraction form.
Sometimes people express the likelihood of events in terms of odds rather than probabilities. The odds of an event occurring are equal to the ratio of favorable outcomes to unfavorable outcomes.
You’ve seen that the odds in favor of an event (E) occurring are shown in this ratio.
Therefore the odds in favour of harry getting a hit = 3 : 7
Hence the correct answer is Option C
-5, because when plugging the -1 in for x then multiplying it by 5, you get -5
