Please can someone help me with this maths question ?
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Answer:
See Below.
Step-by-step explanation:
We are given the function:
And we want to show that it has at least one zero between <em>x</em> = 1 and <em>x</em> = 2.
Because the function is a polynomial, it is everywhere continuous.
Evaluate the function at <em>x</em> = 1 and <em>x</em> = 2:
And:
Therefore, because the function changes signs from <em>x</em> = 1 to <em>x</em> = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.
0.8926 percent of the time, the shipment will be rejected.
<h3>What is Probability?</h3>The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
<h3>According to the given information:</h3>A delivery of 50 cheap digital watches, 10 of which are flawed.
A digital watch's likelihood of malfunctioning
P = 10/50
= 0.2
Size of sample: n = 10
Additionally, if they find one or more samples to be defective, they reject the entire cargo.
Making use of the binomial probability formula:
The random variable x should stand in for the quantity of defective watches.
The chance that the delivery will be refused is:
= 1 - (0.8)
= 0.8926
As a result, 0.8926 percent of the time, the shipment will be rejected.
To know more about binomial probability visit:
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I understand that the question you are looking for is:
A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected