Fauklenberry-Miranda said 90% of those exposed who are not vaccinated will get the measles.
Officials earlier this week reported more than 700 measles cases in 22 states, a record-breaking total since the illness was declared eradicated in 2000.
USA public health officials declared measles eliminated in 2000, meaning the disease was no longer a constant presence in the country.
"Too many of us are inexperienced with the diseases we are talking about and ignorant of the seriousness of them", Miner said.
"We need to improve our vaccination rates", said Dr. Allyn Nakashima, an epidemiologist with the health department.
More than 700 cases of measles have been confirmed across the US, not yet in Utah, but Miner said it is imminent. Initial symptoms include general tiredness, cough and congestion, fever, followed by eye discharge.
This is happening as a vast swath of Americans are foregoing vaccinations, primarily from younger generations (Gen X and Millennials) which have never experienced massive public outbreaks.
The announcement came as concern grows over the impact of anti-vaccination stigma, amid a signficant hike in measles cases worldwide.
For women wanting to become pregnant, the CDC advises to wait until one month after receiving the MMR vaccine to help ensure measles protection, which can help guard your baby from the illness during the first few months of life.
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The largest U.S. measles outbreak this year has been in New York City, clustered in the Orthodox Jewish communities in the borough of Brooklyn, according to the U.S. Centers for Disease Control and Prevention and city public health officials.
Audrey Peine, the mother of the child who contracted measles, took to Facebook Thursday to warn those who don't get their children vaccinated.
The number of cases of measles among Los Angeles County residents this year has risen to seven.
Two jabs are required by five-years-old to provide full immunity and a further 6,830 children did not receive the second jab. Some examples are measles which can cause brain swelling, which can lead to brain damage or death, mumps which cause permanent deafness, meningitis which can also lead to permanent deafness or brain damage, and that can cause permanent paralysis. "We urge everyone to check to make sure they and their family members are up-to-date on measles/mumps/rubella (MMR) vaccine and all other age-appropriate immunizations".
In a society with a high vaccination rate, herd immunity protects those who can't be vaccinated.
"So you can either go to your doctor and say, 'Draw a blood test and see if I have a high enough level, ' or just get the shot", he said.
Infants ages 6 months to 11 months should receive one dose of the MMR vaccine.
If you have chosen not to vaccinate your child, and a vaccine-preventable disease is active in your community, it is important to consider getting your child vaccinated as soon as possible.