1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
levacccp [35]
3 years ago
12

Suppose the probability that a softball player gets a hit in any single at-bat is 0.300. Assuming that her chance of getting a h

it on a particular time at bat is independent of her other times at bat, what is the probability that she will not get a hit until her fourth time at bat in a game
Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

Solution to the problem

For this case we want this probability

P(X=4)

And using the probability mass function we got:

P(X=4)=(1-0.3)^{4-1} 0.3 = 0.103

The probability that she will not get a hit until her fourth time at bat in a game is 0.103

You might be interested in
Expand (x+2y)^2<br>hgghhhhjjjjjjj​
Sonbull [250]

Step-by-step explanation:

(x+2y)²=x²+4xy+4y²

...........

7 0
3 years ago
What is 2,400 milliliters converted into liters
BARSIC [14]

Answer:

2.4 liters

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
I need help with some grade 10 math something to do with graphing
Vilka [71]
Vertex: (2,1)
axis of symmetry: (0,2)
direction of opening: up
not sure what optimal value is.
y-intercept: (0,5)
not sure what the step pattern is.
3 0
3 years ago
during June a car dealer sold 250 cars during July he sold 14% fewer cars how many cars did he sell in July?
damaskus [11]
The answer is he sold 50 fewer
4 0
3 years ago
The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of
allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

  • we will differentiate the y(x) equation twice to get a second order differential equation.
  • We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate  βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx  

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10  or 3.16(2 d.p)

5 0
3 years ago
Other questions:
  • Can a 3 foot-by-9 foot rectangle be a scaled copy of a 3 foot-by-1 foot rectangle? Explain
    8·1 answer
  • molly was packing books in a box to send to a friend.the box cannot weigh more than 2kg.if each book has a mass of 200g, what is
    6·1 answer
  • BRIANLIESTTT ASAP! PLEASE HELP ME :)
    5·1 answer
  • I camper attaches a rope from the top of her tent 4 feet above the ground to give it more support if the Rope is 8 ft long about
    12·1 answer
  • Easy way to do translations
    9·1 answer
  • How many solutions does the system below have?
    7·1 answer
  • Which number has a 5 that represents a value ten times greater than the value represented by the 5 in 41,253 ?
    5·1 answer
  • Factorize the following expression, 2p³-50​
    12·1 answer
  • If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?
    11·1 answer
  • HELP ASAP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!