of the basic rules of probability: the sum of the probability that an event will happen and the probability that the event won’t happen is always 1. (In other words‚ the chance that anything might or might not happen is always 100%). If we can work out the probability that no two people will have the same birthday‚ we can use this rule to find the probability that two people will share a birthday: P(event happens) + P(event doesn’t happen) = 1 P(two people share birthday) + P(no two people share
Premium Probability theory
13 4. Introduction to Probability ....................................................................... 15 5. Unions‚ Intersections‚ and Complements ................................................ 23 6. Conditional Probability & Independent Events..................................... 28 7. Discrete Random Variables....................................................................... 33 8. Binomial Random Variable ...................................................................... 37
Premium Standard deviation Arithmetic mean Probability theory
The Montgomery bus protest of 1955 was a major historical event in the long history of Black Civil Rights in America. Black civil rights issues date back to the 16th century when the first Dutch settlers began transporting slaves to the south of America. The causes of the Montgomery bus boycott include slavery‚ violence towards blacks‚ Jim Crow Laws as well as the stories of people like Emmett Till and Rosa Parks. Consequences of this historical event are both short term and long term including the
Premium Slavery Black people Atlantic slave trade
weights. Then 6 1 ‚...‚m(ω6 ) = 21 . (Check for yourself that this choice of values of m(ωi ) satisfies m(ω1 ) = 21 the three conditions above!) Therefore‚ P (Even) = P ({2‚ 4‚ 6} = 2 21 + 4 21 + 6 21 = 12 21 = 4 7 = 0.57. 7. Let A and B be events such that P (A ∩ B) = 14 ‚ P (Ac ) = 13 ‚ and P (B = 12 . What is P (A ∪ B)? Recall Theorem 4 from class: P (A ∪ B) = P (A) + P (B) − P (A ∩ B). We already know that P (B) = 12 and P (A ∩ B) = 14 ‚ so we just need to find P (A). By Theorem 1 part
Premium Mathematics Probability theory Automobile
shift requires 6 operators‚ 2 maintenance persons‚ and 1 supervisor‚ in how many different ways can it be staffed? [8 points] 18 10 4 18564 45 4 3‚341‚520 6 2 1 (b) Suppose A and B are not mutually exclusive events‚ and we have P(A)=0.35‚ P(B)=0.40‚ P(AB)=0.18. Compute the following probabilities: i) P (AB)=? [4 points] P (AB)=P[A]+P[B]-P[AB]=0.35+0.40-0.18=0.57 ii) P(AB)=? P[A B] P[ A B] 0.18 0.45 P[ B] 0.40 1 of 6 [4 points] Name: Problem
Premium Normal distribution Probability theory Failure
Ethical Challenges in Business: A Historical Event worth Examination The movie Erin Brockovich is based on actual events involving corporate business knowingly endangering the health of local residents and the environment. This factual event is a great example of capitalism on steroids with no empathy for who are what is destroyed on their path for wealth. The events that unfold show the degenerative break down of ethical values through the business format of Pacific Gas and Electric. PG&E
Premium Decision making Erin Brockovich
input the probabilities of 0.4‚ 0.4 and 0.2 for “good”‚ “moderate” and “poor” market reception. We then proceed to develop the marginal‚ conditional‚ and joint probabilities for each terminal end-point. The formula for the conditional probability of events A and B is changed as: P(A ∩ B) = P(B) P(A | B) By developing the likely revenue of market response outcome and summing the results‚ we obtain the expected
Premium Probability theory Conditional probability
PROBABILITY QUESTIONS Q1). You draw a card at random from a standard deck of 52 cards. Neither you nor anyone else looked at the card you picked. You keep it face down. Your friend then picks a card at random from a remaining 51 cards. a) What is the probability that your card is ace of spades? 1/52 b) What is the probability that your friend’s card is ace of spades? (Hint: Construct the sample space for what your friend’s card can be.) 1/51 c) You turn over your card and it is 10 of
Premium Playing card Vocational education Higher education
1. Identify and describe one major historical event you feel had a key effect on the development of nursing. One major events that had a historical key effect on the development is nursing was nursing care provided during the Civil War. Harriett Tubman (underground railroad) and Sojourner Truth (provided care for the wounded soldiers of the union army were African American women who were active in the early of the women’s movement. (Blais & Hayes‚ ‚ 2011). Blais‚ K.‚ & Hayes‚ J. (2011). Professional
Premium African American World War II Black people
specific event will occur. If the event is A‚ then the probability that A will occur is denoted P(A). Example: Flip a coin. What is the probability of heads? This is denoted P(heads). Properties of Probability 1. The probability of an event E always lies in the range of 0 to 1; i.e.‚ 0 ≤ P( E ) ≤ 1. Impossible event—an event that absolutely cannot occur; probability is zero. Example: Suppose you roll a normal die. What is the probability that you will get a seven? P(7) = 0. Sure event—an event that is
Premium Conditional probability Probability theory